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Simplifying 2(4x + -6) = 4(-5x + -15) Reorder the terms: 2(-6 + 4x) = 4(-5x + -15) (-6 * 2 + 4x * 2) = 4(-5x + -15) (-12 + 8x) = 4(-5x + -15) Reorder the terms: -12 + 8x = 4(-15 + -5x) -12 + 8x = (-15 * 4 + -5x * 4) -12 + 8x = (-60 + -20x) Solving -12 + 8x = -60 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -12 + 8x + 20x = -60 + -20x + 20x Combine like terms: 8x + 20x = 28x -12 + 28x = -60 + -20x + 20x Combine like terms: -20x + 20x = 0 -12 + 28x = -60 + 0 -12 + 28x = -60 Add '12' to each side of the equation. -12 + 12 + 28x = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 28x = -60 + 12 28x = -60 + 12 Combine like terms: -60 + 12 = -48 28x = -48 Divide each side by '28'. x = -1.714285714 Simplifying x = -1.714285714
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