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