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Simplifying 5(x + 1) + -3(4x + 3) = 2(x + -1) Reorder the terms: 5(1 + x) + -3(4x + 3) = 2(x + -1) (1 * 5 + x * 5) + -3(4x + 3) = 2(x + -1) (5 + 5x) + -3(4x + 3) = 2(x + -1) Reorder the terms: 5 + 5x + -3(3 + 4x) = 2(x + -1) 5 + 5x + (3 * -3 + 4x * -3) = 2(x + -1) 5 + 5x + (-9 + -12x) = 2(x + -1) Reorder the terms: 5 + -9 + 5x + -12x = 2(x + -1) Combine like terms: 5 + -9 = -4 -4 + 5x + -12x = 2(x + -1) Combine like terms: 5x + -12x = -7x -4 + -7x = 2(x + -1) Reorder the terms: -4 + -7x = 2(-1 + x) -4 + -7x = (-1 * 2 + x * 2) -4 + -7x = (-2 + 2x) Solving -4 + -7x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -7x + -2x = -2 + 2x + -2x Combine like terms: -7x + -2x = -9x -4 + -9x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -9x = -2 + 0 -4 + -9x = -2 Add '4' to each side of the equation. -4 + 4 + -9x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -2 + 4 -9x = -2 + 4 Combine like terms: -2 + 4 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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