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Simplifying -1 + 3(x + -1) = 9x + -5(x + -2) + -14 Reorder the terms: -1 + 3(-1 + x) = 9x + -5(x + -2) + -14 -1 + (-1 * 3 + x * 3) = 9x + -5(x + -2) + -14 -1 + (-3 + 3x) = 9x + -5(x + -2) + -14 Combine like terms: -1 + -3 = -4 -4 + 3x = 9x + -5(x + -2) + -14 Reorder the terms: -4 + 3x = 9x + -5(-2 + x) + -14 -4 + 3x = 9x + (-2 * -5 + x * -5) + -14 -4 + 3x = 9x + (10 + -5x) + -14 Reorder the terms: -4 + 3x = 10 + -14 + 9x + -5x Combine like terms: 10 + -14 = -4 -4 + 3x = -4 + 9x + -5x Combine like terms: 9x + -5x = 4x -4 + 3x = -4 + 4x Add '4' to each side of the equation. -4 + 4 + 3x = -4 + 4 + 4x Combine like terms: -4 + 4 = 0 0 + 3x = -4 + 4 + 4x 3x = -4 + 4 + 4x Combine like terms: -4 + 4 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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