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Simplifying 9(x + 6) = 1(x + -2) Reorder the terms: 9(6 + x) = 1(x + -2) (6 * 9 + x * 9) = 1(x + -2) (54 + 9x) = 1(x + -2) Reorder the terms: 54 + 9x = 1(-2 + x) 54 + 9x = (-2 * 1 + x * 1) 54 + 9x = (-2 + 1x) Solving 54 + 9x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 54 + 9x + -1x = -2 + 1x + -1x Combine like terms: 9x + -1x = 8x 54 + 8x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 54 + 8x = -2 + 0 54 + 8x = -2 Add '-54' to each side of the equation. 54 + -54 + 8x = -2 + -54 Combine like terms: 54 + -54 = 0 0 + 8x = -2 + -54 8x = -2 + -54 Combine like terms: -2 + -54 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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