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Simplifying 7(-4x + -5) = 12(6x + -5) Reorder the terms: 7(-5 + -4x) = 12(6x + -5) (-5 * 7 + -4x * 7) = 12(6x + -5) (-35 + -28x) = 12(6x + -5) Reorder the terms: -35 + -28x = 12(-5 + 6x) -35 + -28x = (-5 * 12 + 6x * 12) -35 + -28x = (-60 + 72x) Solving -35 + -28x = -60 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -35 + -28x + -72x = -60 + 72x + -72x Combine like terms: -28x + -72x = -100x -35 + -100x = -60 + 72x + -72x Combine like terms: 72x + -72x = 0 -35 + -100x = -60 + 0 -35 + -100x = -60 Add '35' to each side of the equation. -35 + 35 + -100x = -60 + 35 Combine like terms: -35 + 35 = 0 0 + -100x = -60 + 35 -100x = -60 + 35 Combine like terms: -60 + 35 = -25 -100x = -25 Divide each side by '-100'. x = 0.25 Simplifying x = 0.25
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