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Simplifying -10(6x + -5) + 12(7x + 3) = 158 Reorder the terms: -10(-5 + 6x) + 12(7x + 3) = 158 (-5 * -10 + 6x * -10) + 12(7x + 3) = 158 (50 + -60x) + 12(7x + 3) = 158 Reorder the terms: 50 + -60x + 12(3 + 7x) = 158 50 + -60x + (3 * 12 + 7x * 12) = 158 50 + -60x + (36 + 84x) = 158 Reorder the terms: 50 + 36 + -60x + 84x = 158 Combine like terms: 50 + 36 = 86 86 + -60x + 84x = 158 Combine like terms: -60x + 84x = 24x 86 + 24x = 158 Solving 86 + 24x = 158 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 24x = 158 + -86 Combine like terms: 86 + -86 = 0 0 + 24x = 158 + -86 24x = 158 + -86 Combine like terms: 158 + -86 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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