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