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Simplifying 5(x + 3) + -3(x + -1) = 2(x + 1) Reorder the terms: 5(3 + x) + -3(x + -1) = 2(x + 1) (3 * 5 + x * 5) + -3(x + -1) = 2(x + 1) (15 + 5x) + -3(x + -1) = 2(x + 1) Reorder the terms: 15 + 5x + -3(-1 + x) = 2(x + 1) 15 + 5x + (-1 * -3 + x * -3) = 2(x + 1) 15 + 5x + (3 + -3x) = 2(x + 1) Reorder the terms: 15 + 3 + 5x + -3x = 2(x + 1) Combine like terms: 15 + 3 = 18 18 + 5x + -3x = 2(x + 1) Combine like terms: 5x + -3x = 2x 18 + 2x = 2(x + 1) Reorder the terms: 18 + 2x = 2(1 + x) 18 + 2x = (1 * 2 + x * 2) 18 + 2x = (2 + 2x) Add '-2x' to each side of the equation. 18 + 2x + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 0 = 2 + 2x + -2x 18 = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 18 = 2 + 0 18 = 2 Solving 18 = 2 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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