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Simplifying 0.33(x + 5) = 0.1x Reorder the terms: 0.33(5 + x) = 0.1x (5 * 0.33 + x * 0.33) = 0.1x (1.65 + 0.33x) = 0.1x Solving 1.65 + 0.33x = 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 1.65 + 0.33x + -0.1x = 0.1x + -0.1x Combine like terms: 0.33x + -0.1x = 0.23x 1.65 + 0.23x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 1.65 + 0.23x = 0.0 Add '-1.65' to each side of the equation. 1.65 + -1.65 + 0.23x = 0.0 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + 0.23x = 0.0 + -1.65 0.23x = 0.0 + -1.65 Combine like terms: 0.0 + -1.65 = -1.65 0.23x = -1.65 Divide each side by '0.23'. x = -7.173913043 Simplifying x = -7.173913043
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