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Simplifying 2.66666667x + 5 = 1.66666667x + 12 Reorder the terms: 5 + 2.66666667x = 1.66666667x + 12 Reorder the terms: 5 + 2.66666667x = 12 + 1.66666667x Solving 5 + 2.66666667x = 12 + 1.66666667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.66666667x' to each side of the equation. 5 + 2.66666667x + -1.66666667x = 12 + 1.66666667x + -1.66666667x Combine like terms: 2.66666667x + -1.66666667x = 1x 5 + 1x = 12 + 1.66666667x + -1.66666667x Combine like terms: 1.66666667x + -1.66666667x = 0.00000000 5 + 1x = 12 + 0.00000000 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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