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Simplifying 2(x + -1) + 3(x + 2) = 5x + 4 Reorder the terms: 2(-1 + x) + 3(x + 2) = 5x + 4 (-1 * 2 + x * 2) + 3(x + 2) = 5x + 4 (-2 + 2x) + 3(x + 2) = 5x + 4 Reorder the terms: -2 + 2x + 3(2 + x) = 5x + 4 -2 + 2x + (2 * 3 + x * 3) = 5x + 4 -2 + 2x + (6 + 3x) = 5x + 4 Reorder the terms: -2 + 6 + 2x + 3x = 5x + 4 Combine like terms: -2 + 6 = 4 4 + 2x + 3x = 5x + 4 Combine like terms: 2x + 3x = 5x 4 + 5x = 5x + 4 Reorder the terms: 4 + 5x = 4 + 5x Add '-4' to each side of the equation. 4 + -4 + 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 5x = 4 + -4 + 5x 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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