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Simplifying 6(30 + -4x) = 10(-1x + 25) (30 * 6 + -4x * 6) = 10(-1x + 25) (180 + -24x) = 10(-1x + 25) Reorder the terms: 180 + -24x = 10(25 + -1x) 180 + -24x = (25 * 10 + -1x * 10) 180 + -24x = (250 + -10x) Solving 180 + -24x = 250 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 180 + -24x + 10x = 250 + -10x + 10x Combine like terms: -24x + 10x = -14x 180 + -14x = 250 + -10x + 10x Combine like terms: -10x + 10x = 0 180 + -14x = 250 + 0 180 + -14x = 250 Add '-180' to each side of the equation. 180 + -180 + -14x = 250 + -180 Combine like terms: 180 + -180 = 0 0 + -14x = 250 + -180 -14x = 250 + -180 Combine like terms: 250 + -180 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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