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Simplifying 5x + 8 = 3(x + -1) + (2x + 10) Reorder the terms: 8 + 5x = 3(x + -1) + (2x + 10) Reorder the terms: 8 + 5x = 3(-1 + x) + (2x + 10) 8 + 5x = (-1 * 3 + x * 3) + (2x + 10) 8 + 5x = (-3 + 3x) + (2x + 10) Reorder the terms: 8 + 5x = -3 + 3x + (10 + 2x) Remove parenthesis around (10 + 2x) 8 + 5x = -3 + 3x + 10 + 2x Reorder the terms: 8 + 5x = -3 + 10 + 3x + 2x Combine like terms: -3 + 10 = 7 8 + 5x = 7 + 3x + 2x Combine like terms: 3x + 2x = 5x 8 + 5x = 7 + 5x Add '-5x' to each side of the equation. 8 + 5x + -5x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 0 = 7 + 5x + -5x 8 = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 = 7 + 0 8 = 7 Solving 8 = 7 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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