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Simplifying 7x + -2(x + -3) = 5(x + 1) + 7 Reorder the terms: 7x + -2(-3 + x) = 5(x + 1) + 7 7x + (-3 * -2 + x * -2) = 5(x + 1) + 7 7x + (6 + -2x) = 5(x + 1) + 7 Reorder the terms: 6 + 7x + -2x = 5(x + 1) + 7 Combine like terms: 7x + -2x = 5x 6 + 5x = 5(x + 1) + 7 Reorder the terms: 6 + 5x = 5(1 + x) + 7 6 + 5x = (1 * 5 + x * 5) + 7 6 + 5x = (5 + 5x) + 7 Reorder the terms: 6 + 5x = 5 + 7 + 5x Combine like terms: 5 + 7 = 12 6 + 5x = 12 + 5x Add '-5x' to each side of the equation. 6 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 0 = 12 + 5x + -5x 6 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 6 = 12 + 0 6 = 12 Solving 6 = 12 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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