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Simplifying 10(12.5 + -4x) = 10(-2x + -3.5) (12.5 * 10 + -4x * 10) = 10(-2x + -3.5) (125 + -40x) = 10(-2x + -3.5) Reorder the terms: 125 + -40x = 10(-3.5 + -2x) 125 + -40x = (-3.5 * 10 + -2x * 10) 125 + -40x = (-35 + -20x) Solving 125 + -40x = -35 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 125 + -40x + 20x = -35 + -20x + 20x Combine like terms: -40x + 20x = -20x 125 + -20x = -35 + -20x + 20x Combine like terms: -20x + 20x = 0 125 + -20x = -35 + 0 125 + -20x = -35 Add '-125' to each side of the equation. 125 + -125 + -20x = -35 + -125 Combine like terms: 125 + -125 = 0 0 + -20x = -35 + -125 -20x = -35 + -125 Combine like terms: -35 + -125 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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