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Simplifying 3(2x + 1) + -3(x + -5) = 3(x + 6) Reorder the terms: 3(1 + 2x) + -3(x + -5) = 3(x + 6) (1 * 3 + 2x * 3) + -3(x + -5) = 3(x + 6) (3 + 6x) + -3(x + -5) = 3(x + 6) Reorder the terms: 3 + 6x + -3(-5 + x) = 3(x + 6) 3 + 6x + (-5 * -3 + x * -3) = 3(x + 6) 3 + 6x + (15 + -3x) = 3(x + 6) Reorder the terms: 3 + 15 + 6x + -3x = 3(x + 6) Combine like terms: 3 + 15 = 18 18 + 6x + -3x = 3(x + 6) Combine like terms: 6x + -3x = 3x 18 + 3x = 3(x + 6) Reorder the terms: 18 + 3x = 3(6 + x) 18 + 3x = (6 * 3 + x * 3) 18 + 3x = (18 + 3x) Add '-18' to each side of the equation. 18 + -18 + 3x = 18 + -18 + 3x Combine like terms: 18 + -18 = 0 0 + 3x = 18 + -18 + 3x 3x = 18 + -18 + 3x Combine like terms: 18 + -18 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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