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Simplifying 6(15 + -4x) + -7(10 + -10x) = 250 (15 * 6 + -4x * 6) + -7(10 + -10x) = 250 (90 + -24x) + -7(10 + -10x) = 250 90 + -24x + (10 * -7 + -10x * -7) = 250 90 + -24x + (-70 + 70x) = 250 Reorder the terms: 90 + -70 + -24x + 70x = 250 Combine like terms: 90 + -70 = 20 20 + -24x + 70x = 250 Combine like terms: -24x + 70x = 46x 20 + 46x = 250 Solving 20 + 46x = 250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 46x = 250 + -20 Combine like terms: 20 + -20 = 0 0 + 46x = 250 + -20 46x = 250 + -20 Combine like terms: 250 + -20 = 230 46x = 230 Divide each side by '46'. x = 5 Simplifying x = 5
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