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Simplifying -1(2x + -6) + -1(8x + -6) + 2 = -8(x + -8) + -1(5x + 4) + 4 Reorder the terms: -1(-6 + 2x) + -1(8x + -6) + 2 = -8(x + -8) + -1(5x + 4) + 4 (-6 * -1 + 2x * -1) + -1(8x + -6) + 2 = -8(x + -8) + -1(5x + 4) + 4 (6 + -2x) + -1(8x + -6) + 2 = -8(x + -8) + -1(5x + 4) + 4 Reorder the terms: 6 + -2x + -1(-6 + 8x) + 2 = -8(x + -8) + -1(5x + 4) + 4 6 + -2x + (-6 * -1 + 8x * -1) + 2 = -8(x + -8) + -1(5x + 4) + 4 6 + -2x + (6 + -8x) + 2 = -8(x + -8) + -1(5x + 4) + 4 Reorder the terms: 6 + 6 + 2 + -2x + -8x = -8(x + -8) + -1(5x + 4) + 4 Combine like terms: 6 + 6 = 12 12 + 2 + -2x + -8x = -8(x + -8) + -1(5x + 4) + 4 Combine like terms: 12 + 2 = 14 14 + -2x + -8x = -8(x + -8) + -1(5x + 4) + 4 Combine like terms: -2x + -8x = -10x 14 + -10x = -8(x + -8) + -1(5x + 4) + 4 Reorder the terms: 14 + -10x = -8(-8 + x) + -1(5x + 4) + 4 14 + -10x = (-8 * -8 + x * -8) + -1(5x + 4) + 4 14 + -10x = (64 + -8x) + -1(5x + 4) + 4 Reorder the terms: 14 + -10x = 64 + -8x + -1(4 + 5x) + 4 14 + -10x = 64 + -8x + (4 * -1 + 5x * -1) + 4 14 + -10x = 64 + -8x + (-4 + -5x) + 4 Reorder the terms: 14 + -10x = 64 + -4 + 4 + -8x + -5x Combine like terms: 64 + -4 = 60 14 + -10x = 60 + 4 + -8x + -5x Combine like terms: 60 + 4 = 64 14 + -10x = 64 + -8x + -5x Combine like terms: -8x + -5x = -13x 14 + -10x = 64 + -13x Solving 14 + -10x = 64 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 14 + -10x + 13x = 64 + -13x + 13x Combine like terms: -10x + 13x = 3x 14 + 3x = 64 + -13x + 13x Combine like terms: -13x + 13x = 0 14 + 3x = 64 + 0 14 + 3x = 64 Add '-14' to each side of the equation. 14 + -14 + 3x = 64 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 64 + -14 3x = 64 + -14 Combine like terms: 64 + -14 = 50 3x = 50 Divide each side by '3'. x = 16.66666667 Simplifying x = 16.66666667
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