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