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Simplifying 8(3x + -6) = 12(5x + -10) Reorder the terms: 8(-6 + 3x) = 12(5x + -10) (-6 * 8 + 3x * 8) = 12(5x + -10) (-48 + 24x) = 12(5x + -10) Reorder the terms: -48 + 24x = 12(-10 + 5x) -48 + 24x = (-10 * 12 + 5x * 12) -48 + 24x = (-120 + 60x) Solving -48 + 24x = -120 + 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. -48 + 24x + -60x = -120 + 60x + -60x Combine like terms: 24x + -60x = -36x -48 + -36x = -120 + 60x + -60x Combine like terms: 60x + -60x = 0 -48 + -36x = -120 + 0 -48 + -36x = -120 Add '48' to each side of the equation. -48 + 48 + -36x = -120 + 48 Combine like terms: -48 + 48 = 0 0 + -36x = -120 + 48 -36x = -120 + 48 Combine like terms: -120 + 48 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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