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Simplifying 9(x + 6) = 8(x + -6) Reorder the terms: 9(6 + x) = 8(x + -6) (6 * 9 + x * 9) = 8(x + -6) (54 + 9x) = 8(x + -6) Reorder the terms: 54 + 9x = 8(-6 + x) 54 + 9x = (-6 * 8 + x * 8) 54 + 9x = (-48 + 8x) Solving 54 + 9x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 54 + 9x + -8x = -48 + 8x + -8x Combine like terms: 9x + -8x = 1x 54 + 1x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 54 + 1x = -48 + 0 54 + 1x = -48 Add '-54' to each side of the equation. 54 + -54 + 1x = -48 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = -48 + -54 1x = -48 + -54 Combine like terms: -48 + -54 = -102 1x = -102 Divide each side by '1'. x = -102 Simplifying x = -102
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