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Simplifying 4(x + 1) = 5[x + -1(2 + -1x)] Reorder the terms: 4(1 + x) = 5[x + -1(2 + -1x)] (1 * 4 + x * 4) = 5[x + -1(2 + -1x)] (4 + 4x) = 5[x + -1(2 + -1x)] 4 + 4x = 5[x + (2 * -1 + -1x * -1)] 4 + 4x = 5[x + (-2 + 1x)] Reorder the terms: 4 + 4x = 5[-2 + x + 1x] Combine like terms: x + 1x = 2x 4 + 4x = 5[-2 + 2x] 4 + 4x = [-2 * 5 + 2x * 5] 4 + 4x = [-10 + 10x] Solving 4 + 4x = -10 + 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. 4 + 4x + -10x = -10 + 10x + -10x Combine like terms: 4x + -10x = -6x 4 + -6x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -6x = -10 + 0 4 + -6x = -10 Add '-4' to each side of the equation. 4 + -4 + -6x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -10 + -4 -6x = -10 + -4 Combine like terms: -10 + -4 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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