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Simplifying 2(4 + -1x) + -5(-7 + -12x) = 0 (4 * 2 + -1x * 2) + -5(-7 + -12x) = 0 (8 + -2x) + -5(-7 + -12x) = 0 8 + -2x + (-7 * -5 + -12x * -5) = 0 8 + -2x + (35 + 60x) = 0 Reorder the terms: 8 + 35 + -2x + 60x = 0 Combine like terms: 8 + 35 = 43 43 + -2x + 60x = 0 Combine like terms: -2x + 60x = 58x 43 + 58x = 0 Solving 43 + 58x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 58x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 58x = 0 + -43 58x = 0 + -43 Combine like terms: 0 + -43 = -43 58x = -43 Divide each side by '58'. x = -0.7413793103 Simplifying x = -0.7413793103
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