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Simplifying 0.08(8 + x) = 1.6 + x (8 * 0.08 + x * 0.08) = 1.6 + x (0.64 + 0.08x) = 1.6 + x Solving 0.64 + 0.08x = 1.6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.64 + 0.08x + -1x = 1.6 + x + -1x Combine like terms: 0.08x + -1x = -0.92x 0.64 + -0.92x = 1.6 + x + -1x Combine like terms: x + -1x = 0 0.64 + -0.92x = 1.6 + 0 0.64 + -0.92x = 1.6 Add '-0.64' to each side of the equation. 0.64 + -0.64 + -0.92x = 1.6 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -0.92x = 1.6 + -0.64 -0.92x = 1.6 + -0.64 Combine like terms: 1.6 + -0.64 = 0.96 -0.92x = 0.96 Divide each side by '-0.92'. x = -1.043478261 Simplifying x = -1.043478261
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