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Simplifying 2(x + 1) = 4(20 + -1x) Reorder the terms: 2(1 + x) = 4(20 + -1x) (1 * 2 + x * 2) = 4(20 + -1x) (2 + 2x) = 4(20 + -1x) 2 + 2x = (20 * 4 + -1x * 4) 2 + 2x = (80 + -4x) Solving 2 + 2x = 80 + -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 = 80 + -4x + 4x Combine like terms: 2x + 4x = 6x 2 + 6x = 80 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 6x = 80 + 0 2 + 6x = 80 Add '-2' to each side of the equation. 2 + -2 + 6x = 80 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 80 + -2 6x = 80 + -2 Combine like terms: 80 + -2 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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