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Simplifying 3(2x + -1) + -4(1 + x) = 2(x + 3) Reorder the terms: 3(-1 + 2x) + -4(1 + x) = 2(x + 3) (-1 * 3 + 2x * 3) + -4(1 + x) = 2(x + 3) (-3 + 6x) + -4(1 + x) = 2(x + 3) -3 + 6x + (1 * -4 + x * -4) = 2(x + 3) -3 + 6x + (-4 + -4x) = 2(x + 3) Reorder the terms: -3 + -4 + 6x + -4x = 2(x + 3) Combine like terms: -3 + -4 = -7 -7 + 6x + -4x = 2(x + 3) Combine like terms: 6x + -4x = 2x -7 + 2x = 2(x + 3) Reorder the terms: -7 + 2x = 2(3 + x) -7 + 2x = (3 * 2 + x * 2) -7 + 2x = (6 + 2x) Add '-2x' to each side of the equation. -7 + 2x + -2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 0 = 6 + 2x + -2x -7 = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 = 6 + 0 -7 = 6 Solving -7 = 6 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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