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Simplifying 2(2x + -4) + 11x + -17 = 10x + -5(x + 1) Reorder the terms: 2(-4 + 2x) + 11x + -17 = 10x + -5(x + 1) (-4 * 2 + 2x * 2) + 11x + -17 = 10x + -5(x + 1) (-8 + 4x) + 11x + -17 = 10x + -5(x + 1) Reorder the terms: -8 + -17 + 4x + 11x = 10x + -5(x + 1) Combine like terms: -8 + -17 = -25 -25 + 4x + 11x = 10x + -5(x + 1) Combine like terms: 4x + 11x = 15x -25 + 15x = 10x + -5(x + 1) Reorder the terms: -25 + 15x = 10x + -5(1 + x) -25 + 15x = 10x + (1 * -5 + x * -5) -25 + 15x = 10x + (-5 + -5x) Reorder the terms: -25 + 15x = -5 + 10x + -5x Combine like terms: 10x + -5x = 5x -25 + 15x = -5 + 5x Solving -25 + 15x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -25 + 15x + -5x = -5 + 5x + -5x Combine like terms: 15x + -5x = 10x -25 + 10x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 10x = -5 + 0 -25 + 10x = -5 Add '25' to each side of the equation. -25 + 25 + 10x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = -5 + 25 10x = -5 + 25 Combine like terms: -5 + 25 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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