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Simplifying 0.75x + 0.5(4 + -1x) = 0.10(30) 0.75x + (4 * 0.5 + -1x * 0.5) = 0.10(30) 0.75x + (2 + -0.5x) = 0.10(30) Reorder the terms: 2 + 0.75x + -0.5x = 0.10(30) Combine like terms: 0.75x + -0.5x = 0.25x 2 + 0.25x = 0.10(30) Multiply 0.10 * 30 2 + 0.25x = 3 Solving 2 + 0.25x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.25x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 0.25x = 3 + -2 0.25x = 3 + -2 Combine like terms: 3 + -2 = 1 0.25x = 1 Divide each side by '0.25'. x = 4 Simplifying x = 4
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