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Simplifying 7(x + -3) + 8x = 5(3x + 5) + -13 Reorder the terms: 7(-3 + x) + 8x = 5(3x + 5) + -13 (-3 * 7 + x * 7) + 8x = 5(3x + 5) + -13 (-21 + 7x) + 8x = 5(3x + 5) + -13 Combine like terms: 7x + 8x = 15x -21 + 15x = 5(3x + 5) + -13 Reorder the terms: -21 + 15x = 5(5 + 3x) + -13 -21 + 15x = (5 * 5 + 3x * 5) + -13 -21 + 15x = (25 + 15x) + -13 Reorder the terms: -21 + 15x = 25 + -13 + 15x Combine like terms: 25 + -13 = 12 -21 + 15x = 12 + 15x Add '-15x' to each side of the equation. -21 + 15x + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + 0 = 12 + 15x + -15x -21 = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 = 12 + 0 -21 = 12 Solving -21 = 12 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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