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Simplifying 0.30x + 0.05(20 + -1x) = 0.10(-35) 0.30x + (20 * 0.05 + -1x * 0.05) = 0.10(-35) 0.30x + (1 + -0.05x) = 0.10(-35) Reorder the terms: 1 + 0.30x + -0.05x = 0.10(-35) Combine like terms: 0.30x + -0.05x = 0.25x 1 + 0.25x = 0.10(-35) Multiply 0.10 * -35 1 + 0.25x = -3.5 Solving 1 + 0.25x = -3.5 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 + 0.25x = -3.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25x = -3.5 + -1 0.25x = -3.5 + -1 Combine like terms: -3.5 + -1 = -4.5 0.25x = -4.5 Divide each side by '0.25'. x = -18 Simplifying x = -18
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