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Simplifying 0.15x + 0.05(8 + -1x) = 0.10(0) 0.15x + (8 * 0.05 + -1x * 0.05) = 0.10(0) 0.15x + (0.4 + -0.05x) = 0.10(0) Reorder the terms: 0.4 + 0.15x + -0.05x = 0.10(0) Combine like terms: 0.15x + -0.05x = 0.1x 0.4 + 0.1x = 0.10(0) Multiply 0.10 * 0 0.4 + 0.1x = 0.00 Anything times zero is zero. 0.4 + 0.1x = 0.00 Solving 0.4 + 0.1x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1x = 0.00 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1x = 0.00 + -0.4 0.1x = 0.00 + -0.4 Combine like terms: 0.00 + -0.4 = -0.4 0.1x = -0.4 Divide each side by '0.1'. x = -4 Simplifying x = -4
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