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Simplifying 9 + -3x + 5(x + -2) = 15 + -2x + 3(x + -8) Reorder the terms: 9 + -3x + 5(-2 + x) = 15 + -2x + 3(x + -8) 9 + -3x + (-2 * 5 + x * 5) = 15 + -2x + 3(x + -8) 9 + -3x + (-10 + 5x) = 15 + -2x + 3(x + -8) Reorder the terms: 9 + -10 + -3x + 5x = 15 + -2x + 3(x + -8) Combine like terms: 9 + -10 = -1 -1 + -3x + 5x = 15 + -2x + 3(x + -8) Combine like terms: -3x + 5x = 2x -1 + 2x = 15 + -2x + 3(x + -8) Reorder the terms: -1 + 2x = 15 + -2x + 3(-8 + x) -1 + 2x = 15 + -2x + (-8 * 3 + x * 3) -1 + 2x = 15 + -2x + (-24 + 3x) Reorder the terms: -1 + 2x = 15 + -24 + -2x + 3x Combine like terms: 15 + -24 = -9 -1 + 2x = -9 + -2x + 3x Combine like terms: -2x + 3x = 1x -1 + 2x = -9 + 1x Solving -1 + 2x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 2x + -1x = -9 + 1x + -1x Combine like terms: 2x + -1x = 1x -1 + 1x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 1x = -9 + 0 -1 + 1x = -9 Add '1' to each side of the equation. -1 + 1 + 1x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -9 + 1 1x = -9 + 1 Combine like terms: -9 + 1 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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