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Simplifying 4(3x + -1) + 3(4x + -1) = 12(2x + -2) Reorder the terms: 4(-1 + 3x) + 3(4x + -1) = 12(2x + -2) (-1 * 4 + 3x * 4) + 3(4x + -1) = 12(2x + -2) (-4 + 12x) + 3(4x + -1) = 12(2x + -2) Reorder the terms: -4 + 12x + 3(-1 + 4x) = 12(2x + -2) -4 + 12x + (-1 * 3 + 4x * 3) = 12(2x + -2) -4 + 12x + (-3 + 12x) = 12(2x + -2) Reorder the terms: -4 + -3 + 12x + 12x = 12(2x + -2) Combine like terms: -4 + -3 = -7 -7 + 12x + 12x = 12(2x + -2) Combine like terms: 12x + 12x = 24x -7 + 24x = 12(2x + -2) Reorder the terms: -7 + 24x = 12(-2 + 2x) -7 + 24x = (-2 * 12 + 2x * 12) -7 + 24x = (-24 + 24x) Add '-24x' to each side of the equation. -7 + 24x + -24x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -7 + 0 = -24 + 24x + -24x -7 = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -7 = -24 + 0 -7 = -24 Solving -7 = -24 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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