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Simplifying 3(2x + 9) = 2(x + -12) + -1 Reorder the terms: 3(9 + 2x) = 2(x + -12) + -1 (9 * 3 + 2x * 3) = 2(x + -12) + -1 (27 + 6x) = 2(x + -12) + -1 Reorder the terms: 27 + 6x = 2(-12 + x) + -1 27 + 6x = (-12 * 2 + x * 2) + -1 27 + 6x = (-24 + 2x) + -1 Reorder the terms: 27 + 6x = -24 + -1 + 2x Combine like terms: -24 + -1 = -25 27 + 6x = -25 + 2x Solving 27 + 6x = -25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 6x + -2x = -25 + 2x + -2x Combine like terms: 6x + -2x = 4x 27 + 4x = -25 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 4x = -25 + 0 27 + 4x = -25 Add '-27' to each side of the equation. 27 + -27 + 4x = -25 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = -25 + -27 4x = -25 + -27 Combine like terms: -25 + -27 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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