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Simplifying 0.16x + -9 = 0.67x + 6 Reorder the terms: -9 + 0.16x = 0.67x + 6 Reorder the terms: -9 + 0.16x = 6 + 0.67x Solving -9 + 0.16x = 6 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. -9 + 0.16x + -0.67x = 6 + 0.67x + -0.67x Combine like terms: 0.16x + -0.67x = -0.51x -9 + -0.51x = 6 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 -9 + -0.51x = 6 + 0.00 -9 + -0.51x = 6 Add '9' to each side of the equation. -9 + 9 + -0.51x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -0.51x = 6 + 9 -0.51x = 6 + 9 Combine like terms: 6 + 9 = 15 -0.51x = 15 Divide each side by '-0.51'. x = -29.41176471 Simplifying x = -29.41176471
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