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Simplifying 2(x + 6) = 9(x + -1) Reorder the terms: 2(6 + x) = 9(x + -1) (6 * 2 + x * 2) = 9(x + -1) (12 + 2x) = 9(x + -1) Reorder the terms: 12 + 2x = 9(-1 + x) 12 + 2x = (-1 * 9 + x * 9) 12 + 2x = (-9 + 9x) Solving 12 + 2x = -9 + 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. 12 + 2x + -9x = -9 + 9x + -9x Combine like terms: 2x + -9x = -7x 12 + -7x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -7x = -9 + 0 12 + -7x = -9 Add '-12' to each side of the equation. 12 + -12 + -7x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -9 + -12 -7x = -9 + -12 Combine like terms: -9 + -12 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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