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Simplifying -7(x + 4) + 15x = 8(x + 2) + 15 Reorder the terms: -7(4 + x) + 15x = 8(x + 2) + 15 (4 * -7 + x * -7) + 15x = 8(x + 2) + 15 (-28 + -7x) + 15x = 8(x + 2) + 15 Combine like terms: -7x + 15x = 8x -28 + 8x = 8(x + 2) + 15 Reorder the terms: -28 + 8x = 8(2 + x) + 15 -28 + 8x = (2 * 8 + x * 8) + 15 -28 + 8x = (16 + 8x) + 15 Reorder the terms: -28 + 8x = 16 + 15 + 8x Combine like terms: 16 + 15 = 31 -28 + 8x = 31 + 8x Add '-8x' to each side of the equation. -28 + 8x + -8x = 31 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 0 = 31 + 8x + -8x -28 = 31 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 = 31 + 0 -28 = 31 Solving -28 = 31 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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