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Simplifying 2(x + 1) = 4(x + -8) Reorder the terms: 2(1 + x) = 4(x + -8) (1 * 2 + x * 2) = 4(x + -8) (2 + 2x) = 4(x + -8) Reorder the terms: 2 + 2x = 4(-8 + x) 2 + 2x = (-8 * 4 + x * 4) 2 + 2x = (-32 + 4x) Solving 2 + 2x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 2x + -4x = -32 + 4x + -4x Combine like terms: 2x + -4x = -2x 2 + -2x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -2x = -32 + 0 2 + -2x = -32 Add '-2' to each side of the equation. 2 + -2 + -2x = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -32 + -2 -2x = -32 + -2 Combine like terms: -32 + -2 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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