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Simplifying 5(x + 2) + -3(x + -2) = 2x + 5 Reorder the terms: 5(2 + x) + -3(x + -2) = 2x + 5 (2 * 5 + x * 5) + -3(x + -2) = 2x + 5 (10 + 5x) + -3(x + -2) = 2x + 5 Reorder the terms: 10 + 5x + -3(-2 + x) = 2x + 5 10 + 5x + (-2 * -3 + x * -3) = 2x + 5 10 + 5x + (6 + -3x) = 2x + 5 Reorder the terms: 10 + 6 + 5x + -3x = 2x + 5 Combine like terms: 10 + 6 = 16 16 + 5x + -3x = 2x + 5 Combine like terms: 5x + -3x = 2x 16 + 2x = 2x + 5 Reorder the terms: 16 + 2x = 5 + 2x Add '-2x' to each side of the equation. 16 + 2x + -2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 0 = 5 + 2x + -2x 16 = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 16 = 5 + 0 16 = 5 Solving 16 = 5 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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