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Simplifying 7(x + -3) + 8 = 5x + 2(-5 + x) Reorder the terms: 7(-3 + x) + 8 = 5x + 2(-5 + x) (-3 * 7 + x * 7) + 8 = 5x + 2(-5 + x) (-21 + 7x) + 8 = 5x + 2(-5 + x) Reorder the terms: -21 + 8 + 7x = 5x + 2(-5 + x) Combine like terms: -21 + 8 = -13 -13 + 7x = 5x + 2(-5 + x) -13 + 7x = 5x + (-5 * 2 + x * 2) -13 + 7x = 5x + (-10 + 2x) Reorder the terms: -13 + 7x = -10 + 5x + 2x Combine like terms: 5x + 2x = 7x -13 + 7x = -10 + 7x Add '-7x' to each side of the equation. -13 + 7x + -7x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 0 = -10 + 7x + -7x -13 = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 = -10 + 0 -13 = -10 Solving -13 = -10 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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