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Simplifying 5(2x + -3) + 7 = 2(5x + -1) + -1 Reorder the terms: 5(-3 + 2x) + 7 = 2(5x + -1) + -1 (-3 * 5 + 2x * 5) + 7 = 2(5x + -1) + -1 (-15 + 10x) + 7 = 2(5x + -1) + -1 Reorder the terms: -15 + 7 + 10x = 2(5x + -1) + -1 Combine like terms: -15 + 7 = -8 -8 + 10x = 2(5x + -1) + -1 Reorder the terms: -8 + 10x = 2(-1 + 5x) + -1 -8 + 10x = (-1 * 2 + 5x * 2) + -1 -8 + 10x = (-2 + 10x) + -1 Reorder the terms: -8 + 10x = -2 + -1 + 10x Combine like terms: -2 + -1 = -3 -8 + 10x = -3 + 10x Add '-10x' to each side of the equation. -8 + 10x + -10x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 0 = -3 + 10x + -10x -8 = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 = -3 + 0 -8 = -3 Solving -8 = -3 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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