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Simplifying 5x + 3(8 + -3x) = 15 + -1(x + -9) 5x + (8 * 3 + -3x * 3) = 15 + -1(x + -9) 5x + (24 + -9x) = 15 + -1(x + -9) Reorder the terms: 24 + 5x + -9x = 15 + -1(x + -9) Combine like terms: 5x + -9x = -4x 24 + -4x = 15 + -1(x + -9) Reorder the terms: 24 + -4x = 15 + -1(-9 + x) 24 + -4x = 15 + (-9 * -1 + x * -1) 24 + -4x = 15 + (9 + -1x) Combine like terms: 15 + 9 = 24 24 + -4x = 24 + -1x Add '-24' to each side of the equation. 24 + -24 + -4x = 24 + -24 + -1x Combine like terms: 24 + -24 = 0 0 + -4x = 24 + -24 + -1x -4x = 24 + -24 + -1x Combine like terms: 24 + -24 = 0 -4x = 0 + -1x -4x = -1x Solving -4x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4x + x = -1x + x Combine like terms: -4x + x = -3x -3x = -1x + x Combine like terms: -1x + x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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