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Simplifying -3(x + 3) + 3(3x + -5) = 5(x + -5) + 9 Reorder the terms: -3(3 + x) + 3(3x + -5) = 5(x + -5) + 9 (3 * -3 + x * -3) + 3(3x + -5) = 5(x + -5) + 9 (-9 + -3x) + 3(3x + -5) = 5(x + -5) + 9 Reorder the terms: -9 + -3x + 3(-5 + 3x) = 5(x + -5) + 9 -9 + -3x + (-5 * 3 + 3x * 3) = 5(x + -5) + 9 -9 + -3x + (-15 + 9x) = 5(x + -5) + 9 Reorder the terms: -9 + -15 + -3x + 9x = 5(x + -5) + 9 Combine like terms: -9 + -15 = -24 -24 + -3x + 9x = 5(x + -5) + 9 Combine like terms: -3x + 9x = 6x -24 + 6x = 5(x + -5) + 9 Reorder the terms: -24 + 6x = 5(-5 + x) + 9 -24 + 6x = (-5 * 5 + x * 5) + 9 -24 + 6x = (-25 + 5x) + 9 Reorder the terms: -24 + 6x = -25 + 9 + 5x Combine like terms: -25 + 9 = -16 -24 + 6x = -16 + 5x Solving -24 + 6x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 6x + -5x = -16 + 5x + -5x Combine like terms: 6x + -5x = 1x -24 + 1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 1x = -16 + 0 -24 + 1x = -16 Add '24' to each side of the equation. -24 + 24 + 1x = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -16 + 24 1x = -16 + 24 Combine like terms: -16 + 24 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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