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Simplifying -3(6 + x) + 9 = 24 + -9(x + 1) (6 * -3 + x * -3) + 9 = 24 + -9(x + 1) (-18 + -3x) + 9 = 24 + -9(x + 1) Reorder the terms: -18 + 9 + -3x = 24 + -9(x + 1) Combine like terms: -18 + 9 = -9 -9 + -3x = 24 + -9(x + 1) Reorder the terms: -9 + -3x = 24 + -9(1 + x) -9 + -3x = 24 + (1 * -9 + x * -9) -9 + -3x = 24 + (-9 + -9x) Combine like terms: 24 + -9 = 15 -9 + -3x = 15 + -9x Solving -9 + -3x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -9 + -3x + 9x = 15 + -9x + 9x Combine like terms: -3x + 9x = 6x -9 + 6x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + 6x = 15 + 0 -9 + 6x = 15 Add '9' to each side of the equation. -9 + 9 + 6x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 15 + 9 6x = 15 + 9 Combine like terms: 15 + 9 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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