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Simplifying -3(4(2x + 7) + -10) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Reorder the terms: -3(4(7 + 2x) + -10) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) -3((7 * 4 + 2x * 4) + -10) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) -3((28 + 8x) + -10) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Reorder the terms: -3(28 + -10 + 8x) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Combine like terms: 28 + -10 = 18 -3(18 + 8x) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) (18 * -3 + 8x * -3) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) (-54 + -24x) + -13x + 2 = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Reorder the terms: -54 + 2 + -24x + -13x = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Combine like terms: -54 + 2 = -52 -52 + -24x + -13x = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Combine like terms: -24x + -13x = -37x -52 + -37x = 132 + -1(1(2(3(4(-5(x + 9) + -2))))) Reorder the terms: -52 + -37x = 132 + -1(1(2(3(4(-5(9 + x) + -2))))) -52 + -37x = 132 + -1(1(2(3(4((9 * -5 + x * -5) + -2))))) -52 + -37x = 132 + -1(1(2(3(4((-45 + -5x) + -2))))) Reorder the terms: -52 + -37x = 132 + -1(1(2(3(4(-45 + -2 + -5x))))) Combine like terms: -45 + -2 = -47 -52 + -37x = 132 + -1(1(2(3(4(-47 + -5x))))) -52 + -37x = 132 + -1(1(2(3((-47 * 4 + -5x * 4))))) -52 + -37x = 132 + -1(1(2(3((-188 + -20x))))) -52 + -37x = 132 + -1(1(2((-188 * 3 + -20x * 3)))) -52 + -37x = 132 + -1(1(2((-564 + -60x)))) -52 + -37x = 132 + -1(1((-564 * 2 + -60x * 2))) -52 + -37x = 132 + -1(1((-1128 + -120x))) -52 + -37x = 132 + -1((-1128 * 1 + -120x * 1)) -52 + -37x = 132 + -1((-1128 + -120x)) -52 + -37x = 132 + (-1128 * -1 + -120x * -1) -52 + -37x = 132 + (1128 + 120x) Combine like terms: 132 + 1128 = 1260 -52 + -37x = 1260 + 120x Solving -52 + -37x = 1260 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -52 + -37x + -120x = 1260 + 120x + -120x Combine like terms: -37x + -120x = -157x -52 + -157x = 1260 + 120x + -120x Combine like terms: 120x + -120x = 0 -52 + -157x = 1260 + 0 -52 + -157x = 1260 Add '52' to each side of the equation. -52 + 52 + -157x = 1260 + 52 Combine like terms: -52 + 52 = 0 0 + -157x = 1260 + 52 -157x = 1260 + 52 Combine like terms: 1260 + 52 = 1312 -157x = 1312 Divide each side by '-157'. x = -8.356687898 Simplifying x = -8.356687898
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