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Simplifying 0.10x + 0.25(x + 10) + 0.05 * 3(x + -10) = 0 Reorder the terms: 0.10x + 0.25(10 + x) + 0.05 * 3(x + -10) = 0 0.10x + (10 * 0.25 + x * 0.25) + 0.05 * 3(x + -10) = 0 0.10x + (2.5 + 0.25x) + 0.05 * 3(x + -10) = 0 Reorder the terms: 0.10x + 2.5 + 0.25x + 0.05 * 3(-10 + x) = 0 Multiply 0.05 * 3 0.10x + 2.5 + 0.25x + 0.15(-10 + x) = 0 0.10x + 2.5 + 0.25x + (-10 * 0.15 + x * 0.15) = 0 0.10x + 2.5 + 0.25x + (-1.5 + 0.15x) = 0 Reorder the terms: 2.5 + -1.5 + 0.10x + 0.25x + 0.15x = 0 Combine like terms: 2.5 + -1.5 = 1 1 + 0.10x + 0.25x + 0.15x = 0 Combine like terms: 0.10x + 0.25x = 0.35x 1 + 0.35x + 0.15x = 0 Combine like terms: 0.35x + 0.15x = 0.5x 1 + 0.5x = 0 Solving 1 + 0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 0 + -1 0.5x = 0 + -1 Combine like terms: 0 + -1 = -1 0.5x = -1 Divide each side by '0.5'. x = -2 Simplifying x = -2
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