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Simplifying -1[4x + -1(2x + 7)] = -4 + -1[4(2x + -4) + -4x] Reorder the terms: -1[4x + -1(7 + 2x)] = -4 + -1[4(2x + -4) + -4x] -1[4x + (7 * -1 + 2x * -1)] = -4 + -1[4(2x + -4) + -4x] -1[4x + (-7 + -2x)] = -4 + -1[4(2x + -4) + -4x] Reorder the terms: -1[-7 + 4x + -2x] = -4 + -1[4(2x + -4) + -4x] Combine like terms: 4x + -2x = 2x -1[-7 + 2x] = -4 + -1[4(2x + -4) + -4x] [-7 * -1 + 2x * -1] = -4 + -1[4(2x + -4) + -4x] [7 + -2x] = -4 + -1[4(2x + -4) + -4x] Reorder the terms: 7 + -2x = -4 + -1[4(-4 + 2x) + -4x] 7 + -2x = -4 + -1[(-4 * 4 + 2x * 4) + -4x] 7 + -2x = -4 + -1[(-16 + 8x) + -4x] Combine like terms: 8x + -4x = 4x 7 + -2x = -4 + -1[-16 + 4x] 7 + -2x = -4 + [-16 * -1 + 4x * -1] 7 + -2x = -4 + [16 + -4x] Combine like terms: -4 + 16 = 12 7 + -2x = 12 + -4x Solving 7 + -2x = 12 + -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. 7 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 7 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 2x = 12 + 0 7 + 2x = 12 Add '-7' to each side of the equation. 7 + -7 + 2x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 12 + -7 2x = 12 + -7 Combine like terms: 12 + -7 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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