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Simplifying 5(2x + -7) = 3(3x + 5) Reorder the terms: 5(-7 + 2x) = 3(3x + 5) (-7 * 5 + 2x * 5) = 3(3x + 5) (-35 + 10x) = 3(3x + 5) Reorder the terms: -35 + 10x = 3(5 + 3x) -35 + 10x = (5 * 3 + 3x * 3) -35 + 10x = (15 + 9x) Solving -35 + 10x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -35 + 10x + -9x = 15 + 9x + -9x Combine like terms: 10x + -9x = 1x -35 + 1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -35 + 1x = 15 + 0 -35 + 1x = 15 Add '35' to each side of the equation. -35 + 35 + 1x = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 15 + 35 1x = 15 + 35 Combine like terms: 15 + 35 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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