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Simplifying -8(x + 1) + -2x = 2(5 + -2x) + -4x Reorder the terms: -8(1 + x) + -2x = 2(5 + -2x) + -4x (1 * -8 + x * -8) + -2x = 2(5 + -2x) + -4x (-8 + -8x) + -2x = 2(5 + -2x) + -4x Combine like terms: -8x + -2x = -10x -8 + -10x = 2(5 + -2x) + -4x -8 + -10x = (5 * 2 + -2x * 2) + -4x -8 + -10x = (10 + -4x) + -4x Combine like terms: -4x + -4x = -8x -8 + -10x = 10 + -8x Solving -8 + -10x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -10x + 8x = 10 + -8x + 8x Combine like terms: -10x + 8x = -2x -8 + -2x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -2x = 10 + 0 -8 + -2x = 10 Add '8' to each side of the equation. -8 + 8 + -2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 10 + 8 -2x = 10 + 8 Combine like terms: 10 + 8 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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