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Simplifying 13x + -1(25 + 11x) = 165 + -2(4x + 10) 13x + (25 * -1 + 11x * -1) = 165 + -2(4x + 10) 13x + (-25 + -11x) = 165 + -2(4x + 10) Reorder the terms: -25 + 13x + -11x = 165 + -2(4x + 10) Combine like terms: 13x + -11x = 2x -25 + 2x = 165 + -2(4x + 10) Reorder the terms: -25 + 2x = 165 + -2(10 + 4x) -25 + 2x = 165 + (10 * -2 + 4x * -2) -25 + 2x = 165 + (-20 + -8x) Combine like terms: 165 + -20 = 145 -25 + 2x = 145 + -8x Solving -25 + 2x = 145 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -25 + 2x + 8x = 145 + -8x + 8x Combine like terms: 2x + 8x = 10x -25 + 10x = 145 + -8x + 8x Combine like terms: -8x + 8x = 0 -25 + 10x = 145 + 0 -25 + 10x = 145 Add '25' to each side of the equation. -25 + 25 + 10x = 145 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 145 + 25 10x = 145 + 25 Combine like terms: 145 + 25 = 170 10x = 170 Divide each side by '10'. x = 17 Simplifying x = 17
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