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Simplifying 5(x + 2) + -2(x + 1) = 3x + 1 Reorder the terms: 5(2 + x) + -2(x + 1) = 3x + 1 (2 * 5 + x * 5) + -2(x + 1) = 3x + 1 (10 + 5x) + -2(x + 1) = 3x + 1 Reorder the terms: 10 + 5x + -2(1 + x) = 3x + 1 10 + 5x + (1 * -2 + x * -2) = 3x + 1 10 + 5x + (-2 + -2x) = 3x + 1 Reorder the terms: 10 + -2 + 5x + -2x = 3x + 1 Combine like terms: 10 + -2 = 8 8 + 5x + -2x = 3x + 1 Combine like terms: 5x + -2x = 3x 8 + 3x = 3x + 1 Reorder the terms: 8 + 3x = 1 + 3x Add '-3x' to each side of the equation. 8 + 3x + -3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 0 = 1 + 3x + -3x 8 = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 8 = 1 + 0 8 = 1 Solving 8 = 1 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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