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Simplifying -0.66666667x + 9 = 1.33333333x + -3 Reorder the terms: 9 + -0.66666667x = 1.33333333x + -3 Reorder the terms: 9 + -0.66666667x = -3 + 1.33333333x Solving 9 + -0.66666667x = -3 + 1.33333333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.33333333x' to each side of the equation. 9 + -0.66666667x + -1.33333333x = -3 + 1.33333333x + -1.33333333x Combine like terms: -0.66666667x + -1.33333333x = -2x 9 + -2x = -3 + 1.33333333x + -1.33333333x Combine like terms: 1.33333333x + -1.33333333x = 0.00000000 9 + -2x = -3 + 0.00000000 9 + -2x = -3 Add '-9' to each side of the equation. 9 + -9 + -2x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -3 + -9 -2x = -3 + -9 Combine like terms: -3 + -9 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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