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Simplifying 3(x + 1) + 2(x + -3) = 5(x + 1) + 8 Reorder the terms: 3(1 + x) + 2(x + -3) = 5(x + 1) + 8 (1 * 3 + x * 3) + 2(x + -3) = 5(x + 1) + 8 (3 + 3x) + 2(x + -3) = 5(x + 1) + 8 Reorder the terms: 3 + 3x + 2(-3 + x) = 5(x + 1) + 8 3 + 3x + (-3 * 2 + x * 2) = 5(x + 1) + 8 3 + 3x + (-6 + 2x) = 5(x + 1) + 8 Reorder the terms: 3 + -6 + 3x + 2x = 5(x + 1) + 8 Combine like terms: 3 + -6 = -3 -3 + 3x + 2x = 5(x + 1) + 8 Combine like terms: 3x + 2x = 5x -3 + 5x = 5(x + 1) + 8 Reorder the terms: -3 + 5x = 5(1 + x) + 8 -3 + 5x = (1 * 5 + x * 5) + 8 -3 + 5x = (5 + 5x) + 8 Reorder the terms: -3 + 5x = 5 + 8 + 5x Combine like terms: 5 + 8 = 13 -3 + 5x = 13 + 5x Add '-5x' to each side of the equation. -3 + 5x + -5x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 0 = 13 + 5x + -5x -3 = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 = 13 + 0 -3 = 13 Solving -3 = 13 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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