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Simplifying -5(-2x + 5) = 7(-2x + 3) Reorder the terms: -5(5 + -2x) = 7(-2x + 3) (5 * -5 + -2x * -5) = 7(-2x + 3) (-25 + 10x) = 7(-2x + 3) Reorder the terms: -25 + 10x = 7(3 + -2x) -25 + 10x = (3 * 7 + -2x * 7) -25 + 10x = (21 + -14x) Solving -25 + 10x = 21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -25 + 10x + 14x = 21 + -14x + 14x Combine like terms: 10x + 14x = 24x -25 + 24x = 21 + -14x + 14x Combine like terms: -14x + 14x = 0 -25 + 24x = 21 + 0 -25 + 24x = 21 Add '25' to each side of the equation. -25 + 25 + 24x = 21 + 25 Combine like terms: -25 + 25 = 0 0 + 24x = 21 + 25 24x = 21 + 25 Combine like terms: 21 + 25 = 46 24x = 46 Divide each side by '24'. x = 1.916666667 Simplifying x = 1.916666667
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