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Simplifying 5(x + 3) + -3x = 2(x + 8) Reorder the terms: 5(3 + x) + -3x = 2(x + 8) (3 * 5 + x * 5) + -3x = 2(x + 8) (15 + 5x) + -3x = 2(x + 8) Combine like terms: 5x + -3x = 2x 15 + 2x = 2(x + 8) Reorder the terms: 15 + 2x = 2(8 + x) 15 + 2x = (8 * 2 + x * 2) 15 + 2x = (16 + 2x) Add '-2x' to each side of the equation. 15 + 2x + -2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 0 = 16 + 2x + -2x 15 = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 15 = 16 + 0 15 = 16 Solving 15 = 16 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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