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Simplifying 5(5x + -5) + -1x + -25 = 14x + 65 Reorder the terms: 5(-5 + 5x) + -1x + -25 = 14x + 65 (-5 * 5 + 5x * 5) + -1x + -25 = 14x + 65 (-25 + 25x) + -1x + -25 = 14x + 65 Reorder the terms: -25 + -25 + 25x + -1x = 14x + 65 Combine like terms: -25 + -25 = -50 -50 + 25x + -1x = 14x + 65 Combine like terms: 25x + -1x = 24x -50 + 24x = 14x + 65 Reorder the terms: -50 + 24x = 65 + 14x Solving -50 + 24x = 65 + 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. -50 + 24x + -14x = 65 + 14x + -14x Combine like terms: 24x + -14x = 10x -50 + 10x = 65 + 14x + -14x Combine like terms: 14x + -14x = 0 -50 + 10x = 65 + 0 -50 + 10x = 65 Add '50' to each side of the equation. -50 + 50 + 10x = 65 + 50 Combine like terms: -50 + 50 = 0 0 + 10x = 65 + 50 10x = 65 + 50 Combine like terms: 65 + 50 = 115 10x = 115 Divide each side by '10'. x = 11.5 Simplifying x = 11.5
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