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Simplifying -8(x + -8) + 9(2x + 2) = 9(x + 8) + -6 Reorder the terms: -8(-8 + x) + 9(2x + 2) = 9(x + 8) + -6 (-8 * -8 + x * -8) + 9(2x + 2) = 9(x + 8) + -6 (64 + -8x) + 9(2x + 2) = 9(x + 8) + -6 Reorder the terms: 64 + -8x + 9(2 + 2x) = 9(x + 8) + -6 64 + -8x + (2 * 9 + 2x * 9) = 9(x + 8) + -6 64 + -8x + (18 + 18x) = 9(x + 8) + -6 Reorder the terms: 64 + 18 + -8x + 18x = 9(x + 8) + -6 Combine like terms: 64 + 18 = 82 82 + -8x + 18x = 9(x + 8) + -6 Combine like terms: -8x + 18x = 10x 82 + 10x = 9(x + 8) + -6 Reorder the terms: 82 + 10x = 9(8 + x) + -6 82 + 10x = (8 * 9 + x * 9) + -6 82 + 10x = (72 + 9x) + -6 Reorder the terms: 82 + 10x = 72 + -6 + 9x Combine like terms: 72 + -6 = 66 82 + 10x = 66 + 9x Solving 82 + 10x = 66 + 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. 82 + 10x + -9x = 66 + 9x + -9x Combine like terms: 10x + -9x = 1x 82 + 1x = 66 + 9x + -9x Combine like terms: 9x + -9x = 0 82 + 1x = 66 + 0 82 + 1x = 66 Add '-82' to each side of the equation. 82 + -82 + 1x = 66 + -82 Combine like terms: 82 + -82 = 0 0 + 1x = 66 + -82 1x = 66 + -82 Combine like terms: 66 + -82 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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