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Simplifying 0.25x + 0.15(4 + -1x) = 0.5(-1) 0.25x + (4 * 0.15 + -1x * 0.15) = 0.5(-1) 0.25x + (0.6 + -0.15x) = 0.5(-1) Reorder the terms: 0.6 + 0.25x + -0.15x = 0.5(-1) Combine like terms: 0.25x + -0.15x = 0.1x 0.6 + 0.1x = 0.5(-1) Multiply 0.5 * -1 0.6 + 0.1x = -0.5 Solving 0.6 + 0.1x = -0.5 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 = -0.5 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.1x = -0.5 + -0.6 0.1x = -0.5 + -0.6 Combine like terms: -0.5 + -0.6 = -1.1 0.1x = -1.1 Divide each side by '0.1'. x = -11 Simplifying x = -11
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