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Simplifying 2(x + 2) = 1 + 3(1 + -1x) Reorder the terms: 2(2 + x) = 1 + 3(1 + -1x) (2 * 2 + x * 2) = 1 + 3(1 + -1x) (4 + 2x) = 1 + 3(1 + -1x) 4 + 2x = 1 + (1 * 3 + -1x * 3) 4 + 2x = 1 + (3 + -3x) Combine like terms: 1 + 3 = 4 4 + 2x = 4 + -3x Add '-4' to each side of the equation. 4 + -4 + 2x = 4 + -4 + -3x Combine like terms: 4 + -4 = 0 0 + 2x = 4 + -4 + -3x 2x = 4 + -4 + -3x Combine like terms: 4 + -4 = 0 2x = 0 + -3x 2x = -3x Solving 2x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2x + 3x = -3x + 3x Combine like terms: 2x + 3x = 5x 5x = -3x + 3x Combine like terms: -3x + 3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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