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