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Simplifying 4(x + 1) + (x + 3) = 5(x + 1) + 2 Reorder the terms: 4(1 + x) + (x + 3) = 5(x + 1) + 2 (1 * 4 + x * 4) + (x + 3) = 5(x + 1) + 2 (4 + 4x) + (x + 3) = 5(x + 1) + 2 Reorder the terms: 4 + 4x + (3 + x) = 5(x + 1) + 2 Remove parenthesis around (3 + x) 4 + 4x + 3 + x = 5(x + 1) + 2 Reorder the terms: 4 + 3 + 4x + x = 5(x + 1) + 2 Combine like terms: 4 + 3 = 7 7 + 4x + x = 5(x + 1) + 2 Combine like terms: 4x + x = 5x 7 + 5x = 5(x + 1) + 2 Reorder the terms: 7 + 5x = 5(1 + x) + 2 7 + 5x = (1 * 5 + x * 5) + 2 7 + 5x = (5 + 5x) + 2 Reorder the terms: 7 + 5x = 5 + 2 + 5x Combine like terms: 5 + 2 = 7 7 + 5x = 7 + 5x Add '-7' to each side of the equation. 7 + -7 + 5x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 0 + 5x = 7 + -7 + 5x 5x = 7 + -7 + 5x Combine like terms: 7 + -7 = 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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