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Simplifying 2(x + 1) = 3[x + -1(2 + -1x)] Reorder the terms: 2(1 + x) = 3[x + -1(2 + -1x)] (1 * 2 + x * 2) = 3[x + -1(2 + -1x)] (2 + 2x) = 3[x + -1(2 + -1x)] 2 + 2x = 3[x + (2 * -1 + -1x * -1)] 2 + 2x = 3[x + (-2 + 1x)] Reorder the terms: 2 + 2x = 3[-2 + x + 1x] Combine like terms: x + 1x = 2x 2 + 2x = 3[-2 + 2x] 2 + 2x = [-2 * 3 + 2x * 3] 2 + 2x = [-6 + 6x] Solving 2 + 2x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 2x + -6x = -6 + 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = -6 + 0 2 + -4x = -6 Add '-2' to each side of the equation. 2 + -2 + -4x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -6 + -2 -4x = -6 + -2 Combine like terms: -6 + -2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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