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Simplifying 5(x + -1) + 17(x + -2) = 2x + 1 Reorder the terms: 5(-1 + x) + 17(x + -2) = 2x + 1 (-1 * 5 + x * 5) + 17(x + -2) = 2x + 1 (-5 + 5x) + 17(x + -2) = 2x + 1 Reorder the terms: -5 + 5x + 17(-2 + x) = 2x + 1 -5 + 5x + (-2 * 17 + x * 17) = 2x + 1 -5 + 5x + (-34 + 17x) = 2x + 1 Reorder the terms: -5 + -34 + 5x + 17x = 2x + 1 Combine like terms: -5 + -34 = -39 -39 + 5x + 17x = 2x + 1 Combine like terms: 5x + 17x = 22x -39 + 22x = 2x + 1 Reorder the terms: -39 + 22x = 1 + 2x Solving -39 + 22x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -39 + 22x + -2x = 1 + 2x + -2x Combine like terms: 22x + -2x = 20x -39 + 20x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -39 + 20x = 1 + 0 -39 + 20x = 1 Add '39' to each side of the equation. -39 + 39 + 20x = 1 + 39 Combine like terms: -39 + 39 = 0 0 + 20x = 1 + 39 20x = 1 + 39 Combine like terms: 1 + 39 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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