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Simplifying -2(1 + -1x) + 8(x + -8) = 8x + 4 + 7 + -5x (1 * -2 + -1x * -2) + 8(x + -8) = 8x + 4 + 7 + -5x (-2 + 2x) + 8(x + -8) = 8x + 4 + 7 + -5x Reorder the terms: -2 + 2x + 8(-8 + x) = 8x + 4 + 7 + -5x -2 + 2x + (-8 * 8 + x * 8) = 8x + 4 + 7 + -5x -2 + 2x + (-64 + 8x) = 8x + 4 + 7 + -5x Reorder the terms: -2 + -64 + 2x + 8x = 8x + 4 + 7 + -5x Combine like terms: -2 + -64 = -66 -66 + 2x + 8x = 8x + 4 + 7 + -5x Combine like terms: 2x + 8x = 10x -66 + 10x = 8x + 4 + 7 + -5x Reorder the terms: -66 + 10x = 4 + 7 + 8x + -5x Combine like terms: 4 + 7 = 11 -66 + 10x = 11 + 8x + -5x Combine like terms: 8x + -5x = 3x -66 + 10x = 11 + 3x Solving -66 + 10x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -66 + 10x + -3x = 11 + 3x + -3x Combine like terms: 10x + -3x = 7x -66 + 7x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -66 + 7x = 11 + 0 -66 + 7x = 11 Add '66' to each side of the equation. -66 + 66 + 7x = 11 + 66 Combine like terms: -66 + 66 = 0 0 + 7x = 11 + 66 7x = 11 + 66 Combine like terms: 11 + 66 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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