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Simplifying 2(x + -5) + 17 = 2(x + 4) Reorder the terms: 2(-5 + x) + 17 = 2(x + 4) (-5 * 2 + x * 2) + 17 = 2(x + 4) (-10 + 2x) + 17 = 2(x + 4) Reorder the terms: -10 + 17 + 2x = 2(x + 4) Combine like terms: -10 + 17 = 7 7 + 2x = 2(x + 4) Reorder the terms: 7 + 2x = 2(4 + x) 7 + 2x = (4 * 2 + x * 2) 7 + 2x = (8 + 2x) Add '-2x' to each side of the equation. 7 + 2x + -2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 0 = 8 + 2x + -2x 7 = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 7 = 8 + 0 7 = 8 Solving 7 = 8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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