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Simplifying 0.165 = x + 0.6(x + -0.1) Reorder the terms: 0.165 = x + 0.6(-0.1 + x) 0.165 = x + (-0.1 * 0.6 + x * 0.6) 0.165 = x + (-0.06 + 0.6x) Reorder the terms: 0.165 = -0.06 + x + 0.6x Combine like terms: x + 0.6x = 1.6x 0.165 = -0.06 + 1.6x Solving 0.165 = -0.06 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 0.165 + -1.6x = -0.06 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 0.165 + -1.6x = -0.06 + 0.0 0.165 + -1.6x = -0.06 Add '-0.165' to each side of the equation. 0.165 + -0.165 + -1.6x = -0.06 + -0.165 Combine like terms: 0.165 + -0.165 = 0.000 0.000 + -1.6x = -0.06 + -0.165 -1.6x = -0.06 + -0.165 Combine like terms: -0.06 + -0.165 = -0.225 -1.6x = -0.225 Divide each side by '-1.6'. x = 0.140625 Simplifying x = 0.140625
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