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Simplifying 9(x + 6) = 5[x + -1(6 + -1x)] Reorder the terms: 9(6 + x) = 5[x + -1(6 + -1x)] (6 * 9 + x * 9) = 5[x + -1(6 + -1x)] (54 + 9x) = 5[x + -1(6 + -1x)] 54 + 9x = 5[x + (6 * -1 + -1x * -1)] 54 + 9x = 5[x + (-6 + 1x)] Reorder the terms: 54 + 9x = 5[-6 + x + 1x] Combine like terms: x + 1x = 2x 54 + 9x = 5[-6 + 2x] 54 + 9x = [-6 * 5 + 2x * 5] 54 + 9x = [-30 + 10x] Solving 54 + 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. 54 + 9x + -10x = -30 + 10x + -10x Combine like terms: 9x + -10x = -1x 54 + -1x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 54 + -1x = -30 + 0 54 + -1x = -30 Add '-54' to each side of the equation. 54 + -54 + -1x = -30 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = -30 + -54 -1x = -30 + -54 Combine like terms: -30 + -54 = -84 -1x = -84 Divide each side by '-1'. x = 84 Simplifying x = 84
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