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Simplifying 2(x + 12) + -3(2x + -1) = 5x + 9 Reorder the terms: 2(12 + x) + -3(2x + -1) = 5x + 9 (12 * 2 + x * 2) + -3(2x + -1) = 5x + 9 (24 + 2x) + -3(2x + -1) = 5x + 9 Reorder the terms: 24 + 2x + -3(-1 + 2x) = 5x + 9 24 + 2x + (-1 * -3 + 2x * -3) = 5x + 9 24 + 2x + (3 + -6x) = 5x + 9 Reorder the terms: 24 + 3 + 2x + -6x = 5x + 9 Combine like terms: 24 + 3 = 27 27 + 2x + -6x = 5x + 9 Combine like terms: 2x + -6x = -4x 27 + -4x = 5x + 9 Reorder the terms: 27 + -4x = 9 + 5x Solving 27 + -4x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + -4x + -5x = 9 + 5x + -5x Combine like terms: -4x + -5x = -9x 27 + -9x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -9x = 9 + 0 27 + -9x = 9 Add '-27' to each side of the equation. 27 + -27 + -9x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = 9 + -27 -9x = 9 + -27 Combine like terms: 9 + -27 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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