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Simplifying -1[7x + -1(3x + 6)] = -5[4(2x + -4) + -2x] Reorder the terms: -1[7x + -1(6 + 3x)] = -5[4(2x + -4) + -2x] -1[7x + (6 * -1 + 3x * -1)] = -5[4(2x + -4) + -2x] -1[7x + (-6 + -3x)] = -5[4(2x + -4) + -2x] Reorder the terms: -1[-6 + 7x + -3x] = -5[4(2x + -4) + -2x] Combine like terms: 7x + -3x = 4x -1[-6 + 4x] = -5[4(2x + -4) + -2x] [-6 * -1 + 4x * -1] = -5[4(2x + -4) + -2x] [6 + -4x] = -5[4(2x + -4) + -2x] Reorder the terms: 6 + -4x = -5[4(-4 + 2x) + -2x] 6 + -4x = -5[(-4 * 4 + 2x * 4) + -2x] 6 + -4x = -5[(-16 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 6 + -4x = -5[-16 + 6x] 6 + -4x = [-16 * -5 + 6x * -5] 6 + -4x = [80 + -30x] Solving 6 + -4x = 80 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 6 + -4x + 30x = 80 + -30x + 30x Combine like terms: -4x + 30x = 26x 6 + 26x = 80 + -30x + 30x Combine like terms: -30x + 30x = 0 6 + 26x = 80 + 0 6 + 26x = 80 Add '-6' to each side of the equation. 6 + -6 + 26x = 80 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = 80 + -6 26x = 80 + -6 Combine like terms: 80 + -6 = 74 26x = 74 Divide each side by '26'. x = 2.846153846 Simplifying x = 2.846153846
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