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Simplifying 3(x + 9) = 2[x + -1(5 + -1x)] Reorder the terms: 3(9 + x) = 2[x + -1(5 + -1x)] (9 * 3 + x * 3) = 2[x + -1(5 + -1x)] (27 + 3x) = 2[x + -1(5 + -1x)] 27 + 3x = 2[x + (5 * -1 + -1x * -1)] 27 + 3x = 2[x + (-5 + 1x)] Reorder the terms: 27 + 3x = 2[-5 + x + 1x] Combine like terms: x + 1x = 2x 27 + 3x = 2[-5 + 2x] 27 + 3x = [-5 * 2 + 2x * 2] 27 + 3x = [-10 + 4x] Solving 27 + 3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x 27 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -1x = -10 + 0 27 + -1x = -10 Add '-27' to each side of the equation. 27 + -27 + -1x = -10 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -10 + -27 -1x = -10 + -27 Combine like terms: -10 + -27 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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