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