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