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Simplifying 3(20x + -25) = 5(15x + -12) Reorder the terms: 3(-25 + 20x) = 5(15x + -12) (-25 * 3 + 20x * 3) = 5(15x + -12) (-75 + 60x) = 5(15x + -12) Reorder the terms: -75 + 60x = 5(-12 + 15x) -75 + 60x = (-12 * 5 + 15x * 5) -75 + 60x = (-60 + 75x) Solving -75 + 60x = -60 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -75 + 60x + -75x = -60 + 75x + -75x Combine like terms: 60x + -75x = -15x -75 + -15x = -60 + 75x + -75x Combine like terms: 75x + -75x = 0 -75 + -15x = -60 + 0 -75 + -15x = -60 Add '75' to each side of the equation. -75 + 75 + -15x = -60 + 75 Combine like terms: -75 + 75 = 0 0 + -15x = -60 + 75 -15x = -60 + 75 Combine like terms: -60 + 75 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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