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Simplifying 4(2x + -3) + -3(x + -2) = 2x + -3(6 + -1x) + 12 Reorder the terms: 4(-3 + 2x) + -3(x + -2) = 2x + -3(6 + -1x) + 12 (-3 * 4 + 2x * 4) + -3(x + -2) = 2x + -3(6 + -1x) + 12 (-12 + 8x) + -3(x + -2) = 2x + -3(6 + -1x) + 12 Reorder the terms: -12 + 8x + -3(-2 + x) = 2x + -3(6 + -1x) + 12 -12 + 8x + (-2 * -3 + x * -3) = 2x + -3(6 + -1x) + 12 -12 + 8x + (6 + -3x) = 2x + -3(6 + -1x) + 12 Reorder the terms: -12 + 6 + 8x + -3x = 2x + -3(6 + -1x) + 12 Combine like terms: -12 + 6 = -6 -6 + 8x + -3x = 2x + -3(6 + -1x) + 12 Combine like terms: 8x + -3x = 5x -6 + 5x = 2x + -3(6 + -1x) + 12 -6 + 5x = 2x + (6 * -3 + -1x * -3) + 12 -6 + 5x = 2x + (-18 + 3x) + 12 Reorder the terms: -6 + 5x = -18 + 12 + 2x + 3x Combine like terms: -18 + 12 = -6 -6 + 5x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = -6 + 5x Add '6' to each side of the equation. -6 + 6 + 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + 5x = -6 + 6 + 5x 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 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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