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Simplifying -1[4x + -1(2x + 8)] = -7 + -1[4(2x + -5) + -4x] Reorder the terms: -1[4x + -1(8 + 2x)] = -7 + -1[4(2x + -5) + -4x] -1[4x + (8 * -1 + 2x * -1)] = -7 + -1[4(2x + -5) + -4x] -1[4x + (-8 + -2x)] = -7 + -1[4(2x + -5) + -4x] Reorder the terms: -1[-8 + 4x + -2x] = -7 + -1[4(2x + -5) + -4x] Combine like terms: 4x + -2x = 2x -1[-8 + 2x] = -7 + -1[4(2x + -5) + -4x] [-8 * -1 + 2x * -1] = -7 + -1[4(2x + -5) + -4x] [8 + -2x] = -7 + -1[4(2x + -5) + -4x] Reorder the terms: 8 + -2x = -7 + -1[4(-5 + 2x) + -4x] 8 + -2x = -7 + -1[(-5 * 4 + 2x * 4) + -4x] 8 + -2x = -7 + -1[(-20 + 8x) + -4x] Combine like terms: 8x + -4x = 4x 8 + -2x = -7 + -1[-20 + 4x] 8 + -2x = -7 + [-20 * -1 + 4x * -1] 8 + -2x = -7 + [20 + -4x] Combine like terms: -7 + 20 = 13 8 + -2x = 13 + -4x Solving 8 + -2x = 13 + -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. 8 + -2x + 4x = 13 + -4x + 4x Combine like terms: -2x + 4x = 2x 8 + 2x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 2x = 13 + 0 8 + 2x = 13 Add '-8' to each side of the equation. 8 + -8 + 2x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 13 + -8 2x = 13 + -8 Combine like terms: 13 + -8 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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