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Simplifying 5(2x + -5) = 5 + 7x Reorder the terms: 5(-5 + 2x) = 5 + 7x (-5 * 5 + 2x * 5) = 5 + 7x (-25 + 10x) = 5 + 7x Solving -25 + 10x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -25 + 10x + -7x = 5 + 7x + -7x Combine like terms: 10x + -7x = 3x -25 + 3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -25 + 3x = 5 + 0 -25 + 3x = 5 Add '25' to each side of the equation. -25 + 25 + 3x = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = 5 + 25 3x = 5 + 25 Combine like terms: 5 + 25 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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