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Simplifying 5(2x + -5) = 7(2x + -7) Reorder the terms: 5(-5 + 2x) = 7(2x + -7) (-5 * 5 + 2x * 5) = 7(2x + -7) (-25 + 10x) = 7(2x + -7) Reorder the terms: -25 + 10x = 7(-7 + 2x) -25 + 10x = (-7 * 7 + 2x * 7) -25 + 10x = (-49 + 14x) Solving -25 + 10x = -49 + 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 = -49 + 14x + -14x Combine like terms: 10x + -14x = -4x -25 + -4x = -49 + 14x + -14x Combine like terms: 14x + -14x = 0 -25 + -4x = -49 + 0 -25 + -4x = -49 Add '25' to each side of the equation. -25 + 25 + -4x = -49 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = -49 + 25 -4x = -49 + 25 Combine like terms: -49 + 25 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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