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Simplifying -6(2x + -2) = 10(-1x + 3) Reorder the terms: -6(-2 + 2x) = 10(-1x + 3) (-2 * -6 + 2x * -6) = 10(-1x + 3) (12 + -12x) = 10(-1x + 3) Reorder the terms: 12 + -12x = 10(3 + -1x) 12 + -12x = (3 * 10 + -1x * 10) 12 + -12x = (30 + -10x) Solving 12 + -12x = 30 + -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. 12 + -12x + 10x = 30 + -10x + 10x Combine like terms: -12x + 10x = -2x 12 + -2x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + -2x = 30 + 0 12 + -2x = 30 Add '-12' to each side of the equation. 12 + -12 + -2x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 30 + -12 -2x = 30 + -12 Combine like terms: 30 + -12 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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