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Simplifying 17(x + -2) + -4 = 17 + -1(5x + 1) Reorder the terms: 17(-2 + x) + -4 = 17 + -1(5x + 1) (-2 * 17 + x * 17) + -4 = 17 + -1(5x + 1) (-34 + 17x) + -4 = 17 + -1(5x + 1) Reorder the terms: -34 + -4 + 17x = 17 + -1(5x + 1) Combine like terms: -34 + -4 = -38 -38 + 17x = 17 + -1(5x + 1) Reorder the terms: -38 + 17x = 17 + -1(1 + 5x) -38 + 17x = 17 + (1 * -1 + 5x * -1) -38 + 17x = 17 + (-1 + -5x) Combine like terms: 17 + -1 = 16 -38 + 17x = 16 + -5x Solving -38 + 17x = 16 + -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. -38 + 17x + 5x = 16 + -5x + 5x Combine like terms: 17x + 5x = 22x -38 + 22x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 -38 + 22x = 16 + 0 -38 + 22x = 16 Add '38' to each side of the equation. -38 + 38 + 22x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 22x = 16 + 38 22x = 16 + 38 Combine like terms: 16 + 38 = 54 22x = 54 Divide each side by '22'. x = 2.454545455 Simplifying x = 2.454545455
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