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Simplifying 5(-2x + 8) = 7(5x + -15) Reorder the terms: 5(8 + -2x) = 7(5x + -15) (8 * 5 + -2x * 5) = 7(5x + -15) (40 + -10x) = 7(5x + -15) Reorder the terms: 40 + -10x = 7(-15 + 5x) 40 + -10x = (-15 * 7 + 5x * 7) 40 + -10x = (-105 + 35x) Solving 40 + -10x = -105 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 40 + -10x + -35x = -105 + 35x + -35x Combine like terms: -10x + -35x = -45x 40 + -45x = -105 + 35x + -35x Combine like terms: 35x + -35x = 0 40 + -45x = -105 + 0 40 + -45x = -105 Add '-40' to each side of the equation. 40 + -40 + -45x = -105 + -40 Combine like terms: 40 + -40 = 0 0 + -45x = -105 + -40 -45x = -105 + -40 Combine like terms: -105 + -40 = -145 -45x = -145 Divide each side by '-45'. x = 3.222222222 Simplifying x = 3.222222222
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