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