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Simplifying 3(x + 5) + 2x = 2(3x + 4) + -1x Reorder the terms: 3(5 + x) + 2x = 2(3x + 4) + -1x (5 * 3 + x * 3) + 2x = 2(3x + 4) + -1x (15 + 3x) + 2x = 2(3x + 4) + -1x Combine like terms: 3x + 2x = 5x 15 + 5x = 2(3x + 4) + -1x Reorder the terms: 15 + 5x = 2(4 + 3x) + -1x 15 + 5x = (4 * 2 + 3x * 2) + -1x 15 + 5x = (8 + 6x) + -1x Combine like terms: 6x + -1x = 5x 15 + 5x = 8 + 5x Add '-5x' to each side of the equation. 15 + 5x + -5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 0 = 8 + 5x + -5x 15 = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 15 = 8 + 0 15 = 8 Solving 15 = 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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