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