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Simplifying 0.5(2x + -1) + x + 17 = 5x + -1(3x + 2) Reorder the terms: 0.5(-1 + 2x) + x + 17 = 5x + -1(3x + 2) (-1 * 0.5 + 2x * 0.5) + x + 17 = 5x + -1(3x + 2) (-0.5 + 1x) + x + 17 = 5x + -1(3x + 2) Reorder the terms: -0.5 + 17 + 1x + x = 5x + -1(3x + 2) Combine like terms: -0.5 + 17 = 16.5 16.5 + 1x + x = 5x + -1(3x + 2) Combine like terms: 1x + x = 2x 16.5 + 2x = 5x + -1(3x + 2) Reorder the terms: 16.5 + 2x = 5x + -1(2 + 3x) 16.5 + 2x = 5x + (2 * -1 + 3x * -1) 16.5 + 2x = 5x + (-2 + -3x) Reorder the terms: 16.5 + 2x = -2 + 5x + -3x Combine like terms: 5x + -3x = 2x 16.5 + 2x = -2 + 2x Add '-2x' to each side of the equation. 16.5 + 2x + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 16.5 + 0 = -2 + 2x + -2x 16.5 = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 16.5 = -2 + 0 16.5 = -2 Solving 16.5 = -2 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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