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Simplifying 9(x + 1) = -3(5 + x) Reorder the terms: 9(1 + x) = -3(5 + x) (1 * 9 + x * 9) = -3(5 + x) (9 + 9x) = -3(5 + x) 9 + 9x = (5 * -3 + x * -3) 9 + 9x = (-15 + -3x) Solving 9 + 9x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 9x + 3x = -15 + -3x + 3x Combine like terms: 9x + 3x = 12x 9 + 12x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 12x = -15 + 0 9 + 12x = -15 Add '-9' to each side of the equation. 9 + -9 + 12x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = -15 + -9 12x = -15 + -9 Combine like terms: -15 + -9 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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