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Simplifying 0 = 5[x + -1(3 + -1x)] + -9(x + 1) 0 = 5[x + (3 * -1 + -1x * -1)] + -9(x + 1) 0 = 5[x + (-3 + 1x)] + -9(x + 1) Reorder the terms: 0 = 5[-3 + x + 1x] + -9(x + 1) Combine like terms: x + 1x = 2x 0 = 5[-3 + 2x] + -9(x + 1) 0 = [-3 * 5 + 2x * 5] + -9(x + 1) 0 = [-15 + 10x] + -9(x + 1) Reorder the terms: 0 = -15 + 10x + -9(1 + x) 0 = -15 + 10x + (1 * -9 + x * -9) 0 = -15 + 10x + (-9 + -9x) Reorder the terms: 0 = -15 + -9 + 10x + -9x Combine like terms: -15 + -9 = -24 0 = -24 + 10x + -9x Combine like terms: 10x + -9x = 1x 0 = -24 + 1x Solving 0 = -24 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0 + -1x = -24 + 1x + -1x Remove the zero: -1x = -24 + 1x + -1x Combine like terms: 1x + -1x = 0 -1x = -24 + 0 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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