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Simplifying -1[4x + -2(2x + 2)] = -3 + -4[4(2x + -4) + -4x] Reorder the terms: -1[4x + -2(2 + 2x)] = -3 + -4[4(2x + -4) + -4x] -1[4x + (2 * -2 + 2x * -2)] = -3 + -4[4(2x + -4) + -4x] -1[4x + (-4 + -4x)] = -3 + -4[4(2x + -4) + -4x] Reorder the terms: -1[-4 + 4x + -4x] = -3 + -4[4(2x + -4) + -4x] Combine like terms: 4x + -4x = 0 -1[-4 + 0] = -3 + -4[4(2x + -4) + -4x] -1[-4] = -3 + -4[4(2x + -4) + -4x] Multiply -1 * -4 4 = -3 + -4[4(2x + -4) + -4x] Reorder the terms: 4 = -3 + -4[4(-4 + 2x) + -4x] 4 = -3 + -4[(-4 * 4 + 2x * 4) + -4x] 4 = -3 + -4[(-16 + 8x) + -4x] Combine like terms: 8x + -4x = 4x 4 = -3 + -4[-16 + 4x] 4 = -3 + [-16 * -4 + 4x * -4] 4 = -3 + [64 + -16x] Combine like terms: -3 + 64 = 61 4 = 61 + -16x Solving 4 = 61 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 4 + 16x = 61 + -16x + 16x Combine like terms: -16x + 16x = 0 4 + 16x = 61 + 0 4 + 16x = 61 Add '-4' to each side of the equation. 4 + -4 + 16x = 61 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 61 + -4 16x = 61 + -4 Combine like terms: 61 + -4 = 57 16x = 57 Divide each side by '16'. x = 3.5625 Simplifying x = 3.5625
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