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Simplifying 2(x + -6) + x = 3(x + -8) + 12 Reorder the terms: 2(-6 + x) + x = 3(x + -8) + 12 (-6 * 2 + x * 2) + x = 3(x + -8) + 12 (-12 + 2x) + x = 3(x + -8) + 12 Combine like terms: 2x + x = 3x -12 + 3x = 3(x + -8) + 12 Reorder the terms: -12 + 3x = 3(-8 + x) + 12 -12 + 3x = (-8 * 3 + x * 3) + 12 -12 + 3x = (-24 + 3x) + 12 Reorder the terms: -12 + 3x = -24 + 12 + 3x Combine like terms: -24 + 12 = -12 -12 + 3x = -12 + 3x Add '12' to each side of the equation. -12 + 12 + 3x = -12 + 12 + 3x Combine like terms: -12 + 12 = 0 0 + 3x = -12 + 12 + 3x 3x = -12 + 12 + 3x Combine like terms: -12 + 12 = 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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