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Simplifying 2(2x + 4) + -1(x + 6) = 2x + 2 Reorder the terms: 2(4 + 2x) + -1(x + 6) = 2x + 2 (4 * 2 + 2x * 2) + -1(x + 6) = 2x + 2 (8 + 4x) + -1(x + 6) = 2x + 2 Reorder the terms: 8 + 4x + -1(6 + x) = 2x + 2 8 + 4x + (6 * -1 + x * -1) = 2x + 2 8 + 4x + (-6 + -1x) = 2x + 2 Reorder the terms: 8 + -6 + 4x + -1x = 2x + 2 Combine like terms: 8 + -6 = 2 2 + 4x + -1x = 2x + 2 Combine like terms: 4x + -1x = 3x 2 + 3x = 2x + 2 Reorder the terms: 2 + 3x = 2 + 2x Add '-2' to each side of the equation. 2 + -2 + 3x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 3x = 2 + -2 + 2x 3x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 3x = 0 + 2x 3x = 2x Solving 3x = 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. 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 2x + -2x Combine like terms: 2x + -2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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