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Simplifying (3x + -7) * 5 = (2x + -5) * 12 Reorder the terms: (-7 + 3x) * 5 = (2x + -5) * 12 Reorder the terms for easier multiplication: 5(-7 + 3x) = (2x + -5) * 12 (-7 * 5 + 3x * 5) = (2x + -5) * 12 (-35 + 15x) = (2x + -5) * 12 Reorder the terms: -35 + 15x = (-5 + 2x) * 12 Reorder the terms for easier multiplication: -35 + 15x = 12(-5 + 2x) -35 + 15x = (-5 * 12 + 2x * 12) -35 + 15x = (-60 + 24x) Solving -35 + 15x = -60 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -35 + 15x + -24x = -60 + 24x + -24x Combine like terms: 15x + -24x = -9x -35 + -9x = -60 + 24x + -24x Combine like terms: 24x + -24x = 0 -35 + -9x = -60 + 0 -35 + -9x = -60 Add '35' to each side of the equation. -35 + 35 + -9x = -60 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = -60 + 35 -9x = -60 + 35 Combine like terms: -60 + 35 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778
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