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Simplifying -7(5x + -3) + 8(x + 12) = 9 Reorder the terms: -7(-3 + 5x) + 8(x + 12) = 9 (-3 * -7 + 5x * -7) + 8(x + 12) = 9 (21 + -35x) + 8(x + 12) = 9 Reorder the terms: 21 + -35x + 8(12 + x) = 9 21 + -35x + (12 * 8 + x * 8) = 9 21 + -35x + (96 + 8x) = 9 Reorder the terms: 21 + 96 + -35x + 8x = 9 Combine like terms: 21 + 96 = 117 117 + -35x + 8x = 9 Combine like terms: -35x + 8x = -27x 117 + -27x = 9 Solving 117 + -27x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-117' to each side of the equation. 117 + -117 + -27x = 9 + -117 Combine like terms: 117 + -117 = 0 0 + -27x = 9 + -117 -27x = 9 + -117 Combine like terms: 9 + -117 = -108 -27x = -108 Divide each side by '-27'. x = 4 Simplifying x = 4
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