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Simplifying 2(2x + 2) = 2(x + 1) + 4x Reorder the terms: 2(2 + 2x) = 2(x + 1) + 4x (2 * 2 + 2x * 2) = 2(x + 1) + 4x (4 + 4x) = 2(x + 1) + 4x Reorder the terms: 4 + 4x = 2(1 + x) + 4x 4 + 4x = (1 * 2 + x * 2) + 4x 4 + 4x = (2 + 2x) + 4x Combine like terms: 2x + 4x = 6x 4 + 4x = 2 + 6x Solving 4 + 4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = 2 + 0 4 + -2x = 2 Add '-4' to each side of the equation. 4 + -4 + -2x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 2 + -4 -2x = 2 + -4 Combine like terms: 2 + -4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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