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Simplifying 3(2 + -2x) = 6x + -8x + -14 (2 * 3 + -2x * 3) = 6x + -8x + -14 (6 + -6x) = 6x + -8x + -14 Reorder the terms: 6 + -6x = -14 + 6x + -8x Combine like terms: 6x + -8x = -2x 6 + -6x = -14 + -2x Solving 6 + -6x = -14 + -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. 6 + -6x + 2x = -14 + -2x + 2x Combine like terms: -6x + 2x = -4x 6 + -4x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -4x = -14 + 0 6 + -4x = -14 Add '-6' to each side of the equation. 6 + -6 + -4x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -14 + -6 -4x = -14 + -6 Combine like terms: -14 + -6 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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