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Simplifying -2(-9x + -6) = 2(10x + 3) Reorder the terms: -2(-6 + -9x) = 2(10x + 3) (-6 * -2 + -9x * -2) = 2(10x + 3) (12 + 18x) = 2(10x + 3) Reorder the terms: 12 + 18x = 2(3 + 10x) 12 + 18x = (3 * 2 + 10x * 2) 12 + 18x = (6 + 20x) Solving 12 + 18x = 6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 18x + -20x = 6 + 20x + -20x Combine like terms: 18x + -20x = -2x 12 + -2x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -2x = 6 + 0 12 + -2x = 6 Add '-12' to each side of the equation. 12 + -12 + -2x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 6 + -12 -2x = 6 + -12 Combine like terms: 6 + -12 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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