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Simplifying 9(x + 6) = -3(x + -39) Reorder the terms: 9(6 + x) = -3(x + -39) (6 * 9 + x * 9) = -3(x + -39) (54 + 9x) = -3(x + -39) Reorder the terms: 54 + 9x = -3(-39 + x) 54 + 9x = (-39 * -3 + x * -3) 54 + 9x = (117 + -3x) Solving 54 + 9x = 117 + -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. 54 + 9x + 3x = 117 + -3x + 3x Combine like terms: 9x + 3x = 12x 54 + 12x = 117 + -3x + 3x Combine like terms: -3x + 3x = 0 54 + 12x = 117 + 0 54 + 12x = 117 Add '-54' to each side of the equation. 54 + -54 + 12x = 117 + -54 Combine like terms: 54 + -54 = 0 0 + 12x = 117 + -54 12x = 117 + -54 Combine like terms: 117 + -54 = 63 12x = 63 Divide each side by '12'. x = 5.25 Simplifying x = 5.25
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