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Simplifying -12x + 12x = -10(-1 + -2x) + -2(x + 5) Combine like terms: -12x + 12x = 0 0 = -10(-1 + -2x) + -2(x + 5) 0 = (-1 * -10 + -2x * -10) + -2(x + 5) 0 = (10 + 20x) + -2(x + 5) Reorder the terms: 0 = 10 + 20x + -2(5 + x) 0 = 10 + 20x + (5 * -2 + x * -2) 0 = 10 + 20x + (-10 + -2x) Reorder the terms: 0 = 10 + -10 + 20x + -2x Combine like terms: 10 + -10 = 0 0 = 0 + 20x + -2x 0 = 20x + -2x Combine like terms: 20x + -2x = 18x 0 = 18x Solving 0 = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 0 + -18x = 18x + -18x Remove the zero: -18x = 18x + -18x Combine like terms: 18x + -18x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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