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Simplifying 3x + 2(x + 4) = 5(x + 1) + 3 Reorder the terms: 3x + 2(4 + x) = 5(x + 1) + 3 3x + (4 * 2 + x * 2) = 5(x + 1) + 3 3x + (8 + 2x) = 5(x + 1) + 3 Reorder the terms: 8 + 3x + 2x = 5(x + 1) + 3 Combine like terms: 3x + 2x = 5x 8 + 5x = 5(x + 1) + 3 Reorder the terms: 8 + 5x = 5(1 + x) + 3 8 + 5x = (1 * 5 + x * 5) + 3 8 + 5x = (5 + 5x) + 3 Reorder the terms: 8 + 5x = 5 + 3 + 5x Combine like terms: 5 + 3 = 8 8 + 5x = 8 + 5x Add '-8' to each side of the equation. 8 + -8 + 5x = 8 + -8 + 5x Combine like terms: 8 + -8 = 0 0 + 5x = 8 + -8 + 5x 5x = 8 + -8 + 5x Combine like terms: 8 + -8 = 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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