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Simplifying 2(4x + -6) + -5(3x + -1) = (5x + -3) + -1(20 + -9x) Reorder the terms: 2(-6 + 4x) + -5(3x + -1) = (5x + -3) + -1(20 + -9x) (-6 * 2 + 4x * 2) + -5(3x + -1) = (5x + -3) + -1(20 + -9x) (-12 + 8x) + -5(3x + -1) = (5x + -3) + -1(20 + -9x) Reorder the terms: -12 + 8x + -5(-1 + 3x) = (5x + -3) + -1(20 + -9x) -12 + 8x + (-1 * -5 + 3x * -5) = (5x + -3) + -1(20 + -9x) -12 + 8x + (5 + -15x) = (5x + -3) + -1(20 + -9x) Reorder the terms: -12 + 5 + 8x + -15x = (5x + -3) + -1(20 + -9x) Combine like terms: -12 + 5 = -7 -7 + 8x + -15x = (5x + -3) + -1(20 + -9x) Combine like terms: 8x + -15x = -7x -7 + -7x = (5x + -3) + -1(20 + -9x) Reorder the terms: -7 + -7x = (-3 + 5x) + -1(20 + -9x) Remove parenthesis around (-3 + 5x) -7 + -7x = -3 + 5x + -1(20 + -9x) -7 + -7x = -3 + 5x + (20 * -1 + -9x * -1) -7 + -7x = -3 + 5x + (-20 + 9x) Reorder the terms: -7 + -7x = -3 + -20 + 5x + 9x Combine like terms: -3 + -20 = -23 -7 + -7x = -23 + 5x + 9x Combine like terms: 5x + 9x = 14x -7 + -7x = -23 + 14x Solving -7 + -7x = -23 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -7 + -7x + -14x = -23 + 14x + -14x Combine like terms: -7x + -14x = -21x -7 + -21x = -23 + 14x + -14x Combine like terms: 14x + -14x = 0 -7 + -21x = -23 + 0 -7 + -21x = -23 Add '7' to each side of the equation. -7 + 7 + -21x = -23 + 7 Combine like terms: -7 + 7 = 0 0 + -21x = -23 + 7 -21x = -23 + 7 Combine like terms: -23 + 7 = -16 -21x = -16 Divide each side by '-21'. x = 0.7619047619 Simplifying x = 0.7619047619
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