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Simplifying 3(x + 5) + -7 = 5x + -2(-3 + x) Reorder the terms: 3(5 + x) + -7 = 5x + -2(-3 + x) (5 * 3 + x * 3) + -7 = 5x + -2(-3 + x) (15 + 3x) + -7 = 5x + -2(-3 + x) Reorder the terms: 15 + -7 + 3x = 5x + -2(-3 + x) Combine like terms: 15 + -7 = 8 8 + 3x = 5x + -2(-3 + x) 8 + 3x = 5x + (-3 * -2 + x * -2) 8 + 3x = 5x + (6 + -2x) Reorder the terms: 8 + 3x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 6 + 3x Add '-3x' to each side of the equation. 8 + 3x + -3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 0 = 6 + 3x + -3x 8 = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 = 6 + 0 8 = 6 Solving 8 = 6 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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