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Simplifying 2(x + -1) + 2(x + 5) = 8x Reorder the terms: 2(-1 + x) + 2(x + 5) = 8x (-1 * 2 + x * 2) + 2(x + 5) = 8x (-2 + 2x) + 2(x + 5) = 8x Reorder the terms: -2 + 2x + 2(5 + x) = 8x -2 + 2x + (5 * 2 + x * 2) = 8x -2 + 2x + (10 + 2x) = 8x Reorder the terms: -2 + 10 + 2x + 2x = 8x Combine like terms: -2 + 10 = 8 8 + 2x + 2x = 8x Combine like terms: 2x + 2x = 4x 8 + 4x = 8x Solving 8 + 4x = 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 + 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = 0 Add '-8' to each side of the equation. 8 + -8 + -4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 0 + -8 -4x = 0 + -8 Combine like terms: 0 + -8 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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