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Simplifying [4x + -1(2x + -2)] = -3 + -1[4(2x + -2) + -4x] Reorder the terms: [4x + -1(-2 + 2x)] = -3 + -1[4(2x + -2) + -4x] [4x + (-2 * -1 + 2x * -1)] = -3 + -1[4(2x + -2) + -4x] [4x + (2 + -2x)] = -3 + -1[4(2x + -2) + -4x] Reorder the terms: [2 + 4x + -2x] = -3 + -1[4(2x + -2) + -4x] Combine like terms: 4x + -2x = 2x [2 + 2x] = -3 + -1[4(2x + -2) + -4x] Remove brackets around [2 + 2x] 2 + 2x = -3 + -1[4(2x + -2) + -4x] Reorder the terms: 2 + 2x = -3 + -1[4(-2 + 2x) + -4x] 2 + 2x = -3 + -1[(-2 * 4 + 2x * 4) + -4x] 2 + 2x = -3 + -1[(-8 + 8x) + -4x] Combine like terms: 8x + -4x = 4x 2 + 2x = -3 + -1[-8 + 4x] 2 + 2x = -3 + [-8 * -1 + 4x * -1] 2 + 2x = -3 + [8 + -4x] Combine like terms: -3 + 8 = 5 2 + 2x = 5 + -4x Solving 2 + 2x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 2x + 4x = 5 + -4x + 4x Combine like terms: 2x + 4x = 6x 2 + 6x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 6x = 5 + 0 2 + 6x = 5 Add '-2' to each side of the equation. 2 + -2 + 6x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 5 + -2 6x = 5 + -2 Combine like terms: 5 + -2 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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