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Simplifying 0.3333333333(6x + -12) = 4(0.5x + 1) + -2 Reorder the terms: 0.3333333333(-12 + 6x) = 4(0.5x + 1) + -2 (-12 * 0.3333333333 + 6x * 0.3333333333) = 4(0.5x + 1) + -2 (-4 + 2x) = 4(0.5x + 1) + -2 Reorder the terms: -4 + 2x = 4(1 + 0.5x) + -2 -4 + 2x = (1 * 4 + 0.5x * 4) + -2 -4 + 2x = (4 + 2x) + -2 Reorder the terms: -4 + 2x = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 -4 + 2x = 2 + 2x Add '-2x' to each side of the equation. -4 + 2x + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 0 = 2 + 2x + -2x -4 = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 = 2 + 0 -4 = 2 Solving -4 = 2 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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