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Simplifying 5(x + -5) + 2x = 2 + -3(x + -8) Reorder the terms: 5(-5 + x) + 2x = 2 + -3(x + -8) (-5 * 5 + x * 5) + 2x = 2 + -3(x + -8) (-25 + 5x) + 2x = 2 + -3(x + -8) Combine like terms: 5x + 2x = 7x -25 + 7x = 2 + -3(x + -8) Reorder the terms: -25 + 7x = 2 + -3(-8 + x) -25 + 7x = 2 + (-8 * -3 + x * -3) -25 + 7x = 2 + (24 + -3x) Combine like terms: 2 + 24 = 26 -25 + 7x = 26 + -3x Solving -25 + 7x = 26 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -25 + 7x + 3x = 26 + -3x + 3x Combine like terms: 7x + 3x = 10x -25 + 10x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + 10x = 26 + 0 -25 + 10x = 26 Add '25' to each side of the equation. -25 + 25 + 10x = 26 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 26 + 25 10x = 26 + 25 Combine like terms: 26 + 25 = 51 10x = 51 Divide each side by '10'. x = 5.1 Simplifying x = 5.1
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