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Simplifying -0.67(x + 2) = 0.167(x + 6) Reorder the terms: -0.67(2 + x) = 0.167(x + 6) (2 * -0.67 + x * -0.67) = 0.167(x + 6) (-1.34 + -0.67x) = 0.167(x + 6) Reorder the terms: -1.34 + -0.67x = 0.167(6 + x) -1.34 + -0.67x = (6 * 0.167 + x * 0.167) -1.34 + -0.67x = (1.002 + 0.167x) Solving -1.34 + -0.67x = 1.002 + 0.167x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.167x' to each side of the equation. -1.34 + -0.67x + -0.167x = 1.002 + 0.167x + -0.167x Combine like terms: -0.67x + -0.167x = -0.837x -1.34 + -0.837x = 1.002 + 0.167x + -0.167x Combine like terms: 0.167x + -0.167x = 0.000 -1.34 + -0.837x = 1.002 + 0.000 -1.34 + -0.837x = 1.002 Add '1.34' to each side of the equation. -1.34 + 1.34 + -0.837x = 1.002 + 1.34 Combine like terms: -1.34 + 1.34 = 0.00 0.00 + -0.837x = 1.002 + 1.34 -0.837x = 1.002 + 1.34 Combine like terms: 1.002 + 1.34 = 2.342 -0.837x = 2.342 Divide each side by '-0.837'. x = -2.798088411 Simplifying x = -2.798088411
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