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Simplifying 12(2x + -5) = 12(8x + -3) Reorder the terms: 12(-5 + 2x) = 12(8x + -3) (-5 * 12 + 2x * 12) = 12(8x + -3) (-60 + 24x) = 12(8x + -3) Reorder the terms: -60 + 24x = 12(-3 + 8x) -60 + 24x = (-3 * 12 + 8x * 12) -60 + 24x = (-36 + 96x) Solving -60 + 24x = -36 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -60 + 24x + -96x = -36 + 96x + -96x Combine like terms: 24x + -96x = -72x -60 + -72x = -36 + 96x + -96x Combine like terms: 96x + -96x = 0 -60 + -72x = -36 + 0 -60 + -72x = -36 Add '60' to each side of the equation. -60 + 60 + -72x = -36 + 60 Combine like terms: -60 + 60 = 0 0 + -72x = -36 + 60 -72x = -36 + 60 Combine like terms: -36 + 60 = 24 -72x = 24 Divide each side by '-72'. x = -0.3333333333 Simplifying x = -0.3333333333
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