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Simplifying 5(6x + -12) = 3(20x + -10) Reorder the terms: 5(-12 + 6x) = 3(20x + -10) (-12 * 5 + 6x * 5) = 3(20x + -10) (-60 + 30x) = 3(20x + -10) Reorder the terms: -60 + 30x = 3(-10 + 20x) -60 + 30x = (-10 * 3 + 20x * 3) -60 + 30x = (-30 + 60x) Solving -60 + 30x = -30 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -60 + 30x + -60x = -30 + 60x + -60x Combine like terms: 30x + -60x = -30x -60 + -30x = -30 + 60x + -60x Combine like terms: 60x + -60x = 0 -60 + -30x = -30 + 0 -60 + -30x = -30 Add '60' to each side of the equation. -60 + 60 + -30x = -30 + 60 Combine like terms: -60 + 60 = 0 0 + -30x = -30 + 60 -30x = -30 + 60 Combine like terms: -30 + 60 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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