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Simplifying 2(3x + 2) + -2(2x + -1) = 8 Reorder the terms: 2(2 + 3x) + -2(2x + -1) = 8 (2 * 2 + 3x * 2) + -2(2x + -1) = 8 (4 + 6x) + -2(2x + -1) = 8 Reorder the terms: 4 + 6x + -2(-1 + 2x) = 8 4 + 6x + (-1 * -2 + 2x * -2) = 8 4 + 6x + (2 + -4x) = 8 Reorder the terms: 4 + 2 + 6x + -4x = 8 Combine like terms: 4 + 2 = 6 6 + 6x + -4x = 8 Combine like terms: 6x + -4x = 2x 6 + 2x = 8 Solving 6 + 2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 8 + -6 2x = 8 + -6 Combine like terms: 8 + -6 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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