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Simplifying 0.15x + 0.05(4 + -1x) = 0.5(-1) 0.15x + (4 * 0.05 + -1x * 0.05) = 0.5(-1) 0.15x + (0.2 + -0.05x) = 0.5(-1) Reorder the terms: 0.2 + 0.15x + -0.05x = 0.5(-1) Combine like terms: 0.15x + -0.05x = 0.1x 0.2 + 0.1x = 0.5(-1) Multiply 0.5 * -1 0.2 + 0.1x = -0.5 Solving 0.2 + 0.1x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.1x = -0.5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.1x = -0.5 + -0.2 0.1x = -0.5 + -0.2 Combine like terms: -0.5 + -0.2 = -0.7 0.1x = -0.7 Divide each side by '0.1'. x = -7 Simplifying x = -7
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