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