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Simplifying 3(25x + 80) = -2(15x + -15) Reorder the terms: 3(80 + 25x) = -2(15x + -15) (80 * 3 + 25x * 3) = -2(15x + -15) (240 + 75x) = -2(15x + -15) Reorder the terms: 240 + 75x = -2(-15 + 15x) 240 + 75x = (-15 * -2 + 15x * -2) 240 + 75x = (30 + -30x) Solving 240 + 75x = 30 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 240 + 75x + 30x = 30 + -30x + 30x Combine like terms: 75x + 30x = 105x 240 + 105x = 30 + -30x + 30x Combine like terms: -30x + 30x = 0 240 + 105x = 30 + 0 240 + 105x = 30 Add '-240' to each side of the equation. 240 + -240 + 105x = 30 + -240 Combine like terms: 240 + -240 = 0 0 + 105x = 30 + -240 105x = 30 + -240 Combine like terms: 30 + -240 = -210 105x = -210 Divide each side by '105'. x = -2 Simplifying x = -2
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