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Simplifying 5 + -3(2 + -1x) + 10(12 + -2x) = 0 5 + (2 * -3 + -1x * -3) + 10(12 + -2x) = 0 5 + (-6 + 3x) + 10(12 + -2x) = 0 5 + -6 + 3x + (12 * 10 + -2x * 10) = 0 5 + -6 + 3x + (120 + -20x) = 0 Reorder the terms: 5 + -6 + 120 + 3x + -20x = 0 Combine like terms: 5 + -6 = -1 -1 + 120 + 3x + -20x = 0 Combine like terms: -1 + 120 = 119 119 + 3x + -20x = 0 Combine like terms: 3x + -20x = -17x 119 + -17x = 0 Solving 119 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-119' to each side of the equation. 119 + -119 + -17x = 0 + -119 Combine like terms: 119 + -119 = 0 0 + -17x = 0 + -119 -17x = 0 + -119 Combine like terms: 0 + -119 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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