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Simplifying 5(x + 1) + 6 = 3(4 + x) + (2x + -1) Reorder the terms: 5(1 + x) + 6 = 3(4 + x) + (2x + -1) (1 * 5 + x * 5) + 6 = 3(4 + x) + (2x + -1) (5 + 5x) + 6 = 3(4 + x) + (2x + -1) Reorder the terms: 5 + 6 + 5x = 3(4 + x) + (2x + -1) Combine like terms: 5 + 6 = 11 11 + 5x = 3(4 + x) + (2x + -1) 11 + 5x = (4 * 3 + x * 3) + (2x + -1) 11 + 5x = (12 + 3x) + (2x + -1) Reorder the terms: 11 + 5x = 12 + 3x + (-1 + 2x) Remove parenthesis around (-1 + 2x) 11 + 5x = 12 + 3x + -1 + 2x Reorder the terms: 11 + 5x = 12 + -1 + 3x + 2x Combine like terms: 12 + -1 = 11 11 + 5x = 11 + 3x + 2x Combine like terms: 3x + 2x = 5x 11 + 5x = 11 + 5x Add '-11' to each side of the equation. 11 + -11 + 5x = 11 + -11 + 5x Combine like terms: 11 + -11 = 0 0 + 5x = 11 + -11 + 5x 5x = 11 + -11 + 5x Combine like terms: 11 + -11 = 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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