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Simplifying 2(x + 1) = 5[x + -1(3 + -1x)] Reorder the terms: 2(1 + x) = 5[x + -1(3 + -1x)] (1 * 2 + x * 2) = 5[x + -1(3 + -1x)] (2 + 2x) = 5[x + -1(3 + -1x)] 2 + 2x = 5[x + (3 * -1 + -1x * -1)] 2 + 2x = 5[x + (-3 + 1x)] Reorder the terms: 2 + 2x = 5[-3 + x + 1x] Combine like terms: x + 1x = 2x 2 + 2x = 5[-3 + 2x] 2 + 2x = [-3 * 5 + 2x * 5] 2 + 2x = [-15 + 10x] Solving 2 + 2x = -15 + 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. 2 + 2x + -10x = -15 + 10x + -10x Combine like terms: 2x + -10x = -8x 2 + -8x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -8x = -15 + 0 2 + -8x = -15 Add '-2' to each side of the equation. 2 + -2 + -8x = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -15 + -2 -8x = -15 + -2 Combine like terms: -15 + -2 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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