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Simplifying 9(x + 8) + 3x = 3(12 + -4x) Reorder the terms: 9(8 + x) + 3x = 3(12 + -4x) (8 * 9 + x * 9) + 3x = 3(12 + -4x) (72 + 9x) + 3x = 3(12 + -4x) Combine like terms: 9x + 3x = 12x 72 + 12x = 3(12 + -4x) 72 + 12x = (12 * 3 + -4x * 3) 72 + 12x = (36 + -12x) Solving 72 + 12x = 36 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 72 + 12x + 12x = 36 + -12x + 12x Combine like terms: 12x + 12x = 24x 72 + 24x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 72 + 24x = 36 + 0 72 + 24x = 36 Add '-72' to each side of the equation. 72 + -72 + 24x = 36 + -72 Combine like terms: 72 + -72 = 0 0 + 24x = 36 + -72 24x = 36 + -72 Combine like terms: 36 + -72 = -36 24x = -36 Divide each side by '24'. x = -1.5 Simplifying x = -1.5
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