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Simplifying 2(x + 1) + -4(x + -4) = 2(x + 5) Reorder the terms: 2(1 + x) + -4(x + -4) = 2(x + 5) (1 * 2 + x * 2) + -4(x + -4) = 2(x + 5) (2 + 2x) + -4(x + -4) = 2(x + 5) Reorder the terms: 2 + 2x + -4(-4 + x) = 2(x + 5) 2 + 2x + (-4 * -4 + x * -4) = 2(x + 5) 2 + 2x + (16 + -4x) = 2(x + 5) Reorder the terms: 2 + 16 + 2x + -4x = 2(x + 5) Combine like terms: 2 + 16 = 18 18 + 2x + -4x = 2(x + 5) Combine like terms: 2x + -4x = -2x 18 + -2x = 2(x + 5) Reorder the terms: 18 + -2x = 2(5 + x) 18 + -2x = (5 * 2 + x * 2) 18 + -2x = (10 + 2x) Solving 18 + -2x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x 18 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -4x = 10 + 0 18 + -4x = 10 Add '-18' to each side of the equation. 18 + -18 + -4x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 10 + -18 -4x = 10 + -18 Combine like terms: 10 + -18 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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