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Simplifying 3(2x + -4) + -1(4x + -3) = 2x + -9 Reorder the terms: 3(-4 + 2x) + -1(4x + -3) = 2x + -9 (-4 * 3 + 2x * 3) + -1(4x + -3) = 2x + -9 (-12 + 6x) + -1(4x + -3) = 2x + -9 Reorder the terms: -12 + 6x + -1(-3 + 4x) = 2x + -9 -12 + 6x + (-3 * -1 + 4x * -1) = 2x + -9 -12 + 6x + (3 + -4x) = 2x + -9 Reorder the terms: -12 + 3 + 6x + -4x = 2x + -9 Combine like terms: -12 + 3 = -9 -9 + 6x + -4x = 2x + -9 Combine like terms: 6x + -4x = 2x -9 + 2x = 2x + -9 Reorder the terms: -9 + 2x = -9 + 2x Add '9' to each side of the equation. -9 + 9 + 2x = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 0 + 2x = -9 + 9 + 2x 2x = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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