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Simplifying 4(12x + -15) = 3(20x + -16) Reorder the terms: 4(-15 + 12x) = 3(20x + -16) (-15 * 4 + 12x * 4) = 3(20x + -16) (-60 + 48x) = 3(20x + -16) Reorder the terms: -60 + 48x = 3(-16 + 20x) -60 + 48x = (-16 * 3 + 20x * 3) -60 + 48x = (-48 + 60x) Solving -60 + 48x = -48 + 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 + 48x + -60x = -48 + 60x + -60x Combine like terms: 48x + -60x = -12x -60 + -12x = -48 + 60x + -60x Combine like terms: 60x + -60x = 0 -60 + -12x = -48 + 0 -60 + -12x = -48 Add '60' to each side of the equation. -60 + 60 + -12x = -48 + 60 Combine like terms: -60 + 60 = 0 0 + -12x = -48 + 60 -12x = -48 + 60 Combine like terms: -48 + 60 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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