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Simplifying 9(x + 4) = 5[x + -1(7 + -1x)] Reorder the terms: 9(4 + x) = 5[x + -1(7 + -1x)] (4 * 9 + x * 9) = 5[x + -1(7 + -1x)] (36 + 9x) = 5[x + -1(7 + -1x)] 36 + 9x = 5[x + (7 * -1 + -1x * -1)] 36 + 9x = 5[x + (-7 + 1x)] Reorder the terms: 36 + 9x = 5[-7 + x + 1x] Combine like terms: x + 1x = 2x 36 + 9x = 5[-7 + 2x] 36 + 9x = [-7 * 5 + 2x * 5] 36 + 9x = [-35 + 10x] Solving 36 + 9x = -35 + 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. 36 + 9x + -10x = -35 + 10x + -10x Combine like terms: 9x + -10x = -1x 36 + -1x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -1x = -35 + 0 36 + -1x = -35 Add '-36' to each side of the equation. 36 + -36 + -1x = -35 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = -35 + -36 -1x = -35 + -36 Combine like terms: -35 + -36 = -71 -1x = -71 Divide each side by '-1'. x = 71 Simplifying x = 71
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