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Simplifying 2(3 + -6x) = -2(-7 + 5x) (3 * 2 + -6x * 2) = -2(-7 + 5x) (6 + -12x) = -2(-7 + 5x) 6 + -12x = (-7 * -2 + 5x * -2) 6 + -12x = (14 + -10x) Solving 6 + -12x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + -12x + 10x = 14 + -10x + 10x Combine like terms: -12x + 10x = -2x 6 + -2x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + -2x = 14 + 0 6 + -2x = 14 Add '-6' to each side of the equation. 6 + -6 + -2x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 14 + -6 -2x = 14 + -6 Combine like terms: 14 + -6 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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