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Simplifying 12 + -3(x + -5) = 2(4x + -9) + 1 Reorder the terms: 12 + -3(-5 + x) = 2(4x + -9) + 1 12 + (-5 * -3 + x * -3) = 2(4x + -9) + 1 12 + (15 + -3x) = 2(4x + -9) + 1 Combine like terms: 12 + 15 = 27 27 + -3x = 2(4x + -9) + 1 Reorder the terms: 27 + -3x = 2(-9 + 4x) + 1 27 + -3x = (-9 * 2 + 4x * 2) + 1 27 + -3x = (-18 + 8x) + 1 Reorder the terms: 27 + -3x = -18 + 1 + 8x Combine like terms: -18 + 1 = -17 27 + -3x = -17 + 8x Solving 27 + -3x = -17 + 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. 27 + -3x + -8x = -17 + 8x + -8x Combine like terms: -3x + -8x = -11x 27 + -11x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -11x = -17 + 0 27 + -11x = -17 Add '-27' to each side of the equation. 27 + -27 + -11x = -17 + -27 Combine like terms: 27 + -27 = 0 0 + -11x = -17 + -27 -11x = -17 + -27 Combine like terms: -17 + -27 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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