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Simplifying 3(5 + -2x) = 6(2 + -1x) + 3 (5 * 3 + -2x * 3) = 6(2 + -1x) + 3 (15 + -6x) = 6(2 + -1x) + 3 15 + -6x = (2 * 6 + -1x * 6) + 3 15 + -6x = (12 + -6x) + 3 Reorder the terms: 15 + -6x = 12 + 3 + -6x Combine like terms: 12 + 3 = 15 15 + -6x = 15 + -6x Add '-15' to each side of the equation. 15 + -15 + -6x = 15 + -15 + -6x Combine like terms: 15 + -15 = 0 0 + -6x = 15 + -15 + -6x -6x = 15 + -15 + -6x Combine like terms: 15 + -15 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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