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Simplifying 0.666667x + -7 = -0.333333x + 12 Reorder the terms: -7 + 0.666667x = -0.333333x + 12 Reorder the terms: -7 + 0.666667x = 12 + -0.333333x Solving -7 + 0.666667x = 12 + -0.333333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.333333x' to each side of the equation. -7 + 0.666667x + 0.333333x = 12 + -0.333333x + 0.333333x Combine like terms: 0.666667x + 0.333333x = 1x -7 + 1x = 12 + -0.333333x + 0.333333x Combine like terms: -0.333333x + 0.333333x = 0.000000 -7 + 1x = 12 + 0.000000 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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