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Simplifying 9x + 45 = -3(x + -39) Reorder the terms: 45 + 9x = -3(x + -39) Reorder the terms: 45 + 9x = -3(-39 + x) 45 + 9x = (-39 * -3 + x * -3) 45 + 9x = (117 + -3x) Solving 45 + 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. 45 + 9x + 3x = 117 + -3x + 3x Combine like terms: 9x + 3x = 12x 45 + 12x = 117 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 12x = 117 + 0 45 + 12x = 117 Add '-45' to each side of the equation. 45 + -45 + 12x = 117 + -45 Combine like terms: 45 + -45 = 0 0 + 12x = 117 + -45 12x = 117 + -45 Combine like terms: 117 + -45 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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