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Simplifying 12(3x + -4) = -5(2x + -8) Reorder the terms: 12(-4 + 3x) = -5(2x + -8) (-4 * 12 + 3x * 12) = -5(2x + -8) (-48 + 36x) = -5(2x + -8) Reorder the terms: -48 + 36x = -5(-8 + 2x) -48 + 36x = (-8 * -5 + 2x * -5) -48 + 36x = (40 + -10x) Solving -48 + 36x = 40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -48 + 36x + 10x = 40 + -10x + 10x Combine like terms: 36x + 10x = 46x -48 + 46x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 -48 + 46x = 40 + 0 -48 + 46x = 40 Add '48' to each side of the equation. -48 + 48 + 46x = 40 + 48 Combine like terms: -48 + 48 = 0 0 + 46x = 40 + 48 46x = 40 + 48 Combine like terms: 40 + 48 = 88 46x = 88 Divide each side by '46'. x = 1.913043478 Simplifying x = 1.913043478
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