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Simplifying 5(x + 1) + -3(x + 2) = 2x + 4 Reorder the terms: 5(1 + x) + -3(x + 2) = 2x + 4 (1 * 5 + x * 5) + -3(x + 2) = 2x + 4 (5 + 5x) + -3(x + 2) = 2x + 4 Reorder the terms: 5 + 5x + -3(2 + x) = 2x + 4 5 + 5x + (2 * -3 + x * -3) = 2x + 4 5 + 5x + (-6 + -3x) = 2x + 4 Reorder the terms: 5 + -6 + 5x + -3x = 2x + 4 Combine like terms: 5 + -6 = -1 -1 + 5x + -3x = 2x + 4 Combine like terms: 5x + -3x = 2x -1 + 2x = 2x + 4 Reorder the terms: -1 + 2x = 4 + 2x Add '-2x' to each side of the equation. -1 + 2x + -2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 0 = 4 + 2x + -2x -1 = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 = 4 + 0 -1 = 4 Solving -1 = 4 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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