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Simplifying -3(5x + -12) = 5(-3x + 6) + 6 Reorder the terms: -3(-12 + 5x) = 5(-3x + 6) + 6 (-12 * -3 + 5x * -3) = 5(-3x + 6) + 6 (36 + -15x) = 5(-3x + 6) + 6 Reorder the terms: 36 + -15x = 5(6 + -3x) + 6 36 + -15x = (6 * 5 + -3x * 5) + 6 36 + -15x = (30 + -15x) + 6 Reorder the terms: 36 + -15x = 30 + 6 + -15x Combine like terms: 30 + 6 = 36 36 + -15x = 36 + -15x Add '-36' to each side of the equation. 36 + -36 + -15x = 36 + -36 + -15x Combine like terms: 36 + -36 = 0 0 + -15x = 36 + -36 + -15x -15x = 36 + -36 + -15x Combine like terms: 36 + -36 = 0 -15x = 0 + -15x -15x = -15x Add '15x' to each side of the equation. -15x + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 0 = -15x + 15x Combine like terms: -15x + 15x = 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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