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Simplifying 9(x + 3) = 5[x + -1(6 + -1x)] Reorder the terms: 9(3 + x) = 5[x + -1(6 + -1x)] (3 * 9 + x * 9) = 5[x + -1(6 + -1x)] (27 + 9x) = 5[x + -1(6 + -1x)] 27 + 9x = 5[x + (6 * -1 + -1x * -1)] 27 + 9x = 5[x + (-6 + 1x)] Reorder the terms: 27 + 9x = 5[-6 + x + 1x] Combine like terms: x + 1x = 2x 27 + 9x = 5[-6 + 2x] 27 + 9x = [-6 * 5 + 2x * 5] 27 + 9x = [-30 + 10x] Solving 27 + 9x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 9x + -10x = -30 + 10x + -10x Combine like terms: 9x + -10x = -1x 27 + -1x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -1x = -30 + 0 27 + -1x = -30 Add '-27' to each side of the equation. 27 + -27 + -1x = -30 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -30 + -27 -1x = -30 + -27 Combine like terms: -30 + -27 = -57 -1x = -57 Divide each side by '-1'. x = 57 Simplifying x = 57
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