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Simplifying 0.30x + 0.05(6 + -1x) = 0.10(-37) 0.30x + (6 * 0.05 + -1x * 0.05) = 0.10(-37) 0.30x + (0.3 + -0.05x) = 0.10(-37) Reorder the terms: 0.3 + 0.30x + -0.05x = 0.10(-37) Combine like terms: 0.30x + -0.05x = 0.25x 0.3 + 0.25x = 0.10(-37) Multiply 0.10 * -37 0.3 + 0.25x = -3.7 Solving 0.3 + 0.25x = -3.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.25x = -3.7 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.25x = -3.7 + -0.3 0.25x = -3.7 + -0.3 Combine like terms: -3.7 + -0.3 = -4 0.25x = -4 Divide each side by '0.25'. x = -16 Simplifying x = -16
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