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