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Simplifying 4(15x + -25) = 5(20x + -12) Reorder the terms: 4(-25 + 15x) = 5(20x + -12) (-25 * 4 + 15x * 4) = 5(20x + -12) (-100 + 60x) = 5(20x + -12) Reorder the terms: -100 + 60x = 5(-12 + 20x) -100 + 60x = (-12 * 5 + 20x * 5) -100 + 60x = (-60 + 100x) Solving -100 + 60x = -60 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -100 + 60x + -100x = -60 + 100x + -100x Combine like terms: 60x + -100x = -40x -100 + -40x = -60 + 100x + -100x Combine like terms: 100x + -100x = 0 -100 + -40x = -60 + 0 -100 + -40x = -60 Add '100' to each side of the equation. -100 + 100 + -40x = -60 + 100 Combine like terms: -100 + 100 = 0 0 + -40x = -60 + 100 -40x = -60 + 100 Combine like terms: -60 + 100 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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