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Simplifying 8(x + 5) = 9x + -12 Reorder the terms: 8(5 + x) = 9x + -12 (5 * 8 + x * 8) = 9x + -12 (40 + 8x) = 9x + -12 Reorder the terms: 40 + 8x = -12 + 9x Solving 40 + 8x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 40 + 8x + -9x = -12 + 9x + -9x Combine like terms: 8x + -9x = -1x 40 + -1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 40 + -1x = -12 + 0 40 + -1x = -12 Add '-40' to each side of the equation. 40 + -40 + -1x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = -12 + -40 -1x = -12 + -40 Combine like terms: -12 + -40 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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