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Simplifying 3(2 + -2x) = 2(2x + 13) (2 * 3 + -2x * 3) = 2(2x + 13) (6 + -6x) = 2(2x + 13) Reorder the terms: 6 + -6x = 2(13 + 2x) 6 + -6x = (13 * 2 + 2x * 2) 6 + -6x = (26 + 4x) Solving 6 + -6x = 26 + 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. 6 + -6x + -4x = 26 + 4x + -4x Combine like terms: -6x + -4x = -10x 6 + -10x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -10x = 26 + 0 6 + -10x = 26 Add '-6' to each side of the equation. 6 + -6 + -10x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 26 + -6 -10x = 26 + -6 Combine like terms: 26 + -6 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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