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Simplifying 8x + 15 = 2(3x + 1) + -1(-2x + 15) Reorder the terms: 15 + 8x = 2(3x + 1) + -1(-2x + 15) Reorder the terms: 15 + 8x = 2(1 + 3x) + -1(-2x + 15) 15 + 8x = (1 * 2 + 3x * 2) + -1(-2x + 15) 15 + 8x = (2 + 6x) + -1(-2x + 15) Reorder the terms: 15 + 8x = 2 + 6x + -1(15 + -2x) 15 + 8x = 2 + 6x + (15 * -1 + -2x * -1) 15 + 8x = 2 + 6x + (-15 + 2x) Reorder the terms: 15 + 8x = 2 + -15 + 6x + 2x Combine like terms: 2 + -15 = -13 15 + 8x = -13 + 6x + 2x Combine like terms: 6x + 2x = 8x 15 + 8x = -13 + 8x Add '-8x' to each side of the equation. 15 + 8x + -8x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 0 = -13 + 8x + -8x 15 = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 15 = -13 + 0 15 = -13 Solving 15 = -13 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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