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Simplifying 5x + -2(x + -3) = 3(x + 1) + 7 Reorder the terms: 5x + -2(-3 + x) = 3(x + 1) + 7 5x + (-3 * -2 + x * -2) = 3(x + 1) + 7 5x + (6 + -2x) = 3(x + 1) + 7 Reorder the terms: 6 + 5x + -2x = 3(x + 1) + 7 Combine like terms: 5x + -2x = 3x 6 + 3x = 3(x + 1) + 7 Reorder the terms: 6 + 3x = 3(1 + x) + 7 6 + 3x = (1 * 3 + x * 3) + 7 6 + 3x = (3 + 3x) + 7 Reorder the terms: 6 + 3x = 3 + 7 + 3x Combine like terms: 3 + 7 = 10 6 + 3x = 10 + 3x Add '-3x' to each side of the equation. 6 + 3x + -3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 0 = 10 + 3x + -3x 6 = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 6 = 10 + 0 6 = 10 Solving 6 = 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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