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Simplifying 0.15x + 0.05(12 + -1x) = 0.10(0) 0.15x + (12 * 0.05 + -1x * 0.05) = 0.10(0) 0.15x + (0.6 + -0.05x) = 0.10(0) Reorder the terms: 0.6 + 0.15x + -0.05x = 0.10(0) Combine like terms: 0.15x + -0.05x = 0.1x 0.6 + 0.1x = 0.10(0) Multiply 0.10 * 0 0.6 + 0.1x = 0.00 Anything times zero is zero. 0.6 + 0.1x = 0.00 Solving 0.6 + 0.1x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.1x = 0.00 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.1x = 0.00 + -0.6 0.1x = 0.00 + -0.6 Combine like terms: 0.00 + -0.6 = -0.6 0.1x = -0.6 Divide each side by '0.1'. x = -6 Simplifying x = -6
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