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Simplifying -2(-6 + 6x) = -2 + -5(x + -7) (-6 * -2 + 6x * -2) = -2 + -5(x + -7) (12 + -12x) = -2 + -5(x + -7) Reorder the terms: 12 + -12x = -2 + -5(-7 + x) 12 + -12x = -2 + (-7 * -5 + x * -5) 12 + -12x = -2 + (35 + -5x) Combine like terms: -2 + 35 = 33 12 + -12x = 33 + -5x Solving 12 + -12x = 33 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -12x + 5x = 33 + -5x + 5x Combine like terms: -12x + 5x = -7x 12 + -7x = 33 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -7x = 33 + 0 12 + -7x = 33 Add '-12' to each side of the equation. 12 + -12 + -7x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 33 + -12 -7x = 33 + -12 Combine like terms: 33 + -12 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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