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Simplifying 0 = 3[x + -1(3 + -1x)] + -5(x + 1) 0 = 3[x + (3 * -1 + -1x * -1)] + -5(x + 1) 0 = 3[x + (-3 + 1x)] + -5(x + 1) Reorder the terms: 0 = 3[-3 + x + 1x] + -5(x + 1) Combine like terms: x + 1x = 2x 0 = 3[-3 + 2x] + -5(x + 1) 0 = [-3 * 3 + 2x * 3] + -5(x + 1) 0 = [-9 + 6x] + -5(x + 1) Reorder the terms: 0 = -9 + 6x + -5(1 + x) 0 = -9 + 6x + (1 * -5 + x * -5) 0 = -9 + 6x + (-5 + -5x) Reorder the terms: 0 = -9 + -5 + 6x + -5x Combine like terms: -9 + -5 = -14 0 = -14 + 6x + -5x Combine like terms: 6x + -5x = 1x 0 = -14 + 1x Solving 0 = -14 + 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 = -14 + 1x + -1x Remove the zero: -1x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 -1x = -14 + 0 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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