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Simplifying -6(x + -3) + -12 = -4x + 2(5 + -1x) + -4 Reorder the terms: -6(-3 + x) + -12 = -4x + 2(5 + -1x) + -4 (-3 * -6 + x * -6) + -12 = -4x + 2(5 + -1x) + -4 (18 + -6x) + -12 = -4x + 2(5 + -1x) + -4 Reorder the terms: 18 + -12 + -6x = -4x + 2(5 + -1x) + -4 Combine like terms: 18 + -12 = 6 6 + -6x = -4x + 2(5 + -1x) + -4 6 + -6x = -4x + (5 * 2 + -1x * 2) + -4 6 + -6x = -4x + (10 + -2x) + -4 Reorder the terms: 6 + -6x = 10 + -4 + -4x + -2x Combine like terms: 10 + -4 = 6 6 + -6x = 6 + -4x + -2x Combine like terms: -4x + -2x = -6x 6 + -6x = 6 + -6x Add '-6' to each side of the equation. 6 + -6 + -6x = 6 + -6 + -6x Combine like terms: 6 + -6 = 0 0 + -6x = 6 + -6 + -6x -6x = 6 + -6 + -6x Combine like terms: 6 + -6 = 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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