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