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Simplifying 0.75x + -0.05(x + -20) = -4.60 Reorder the terms: 0.75x + -0.05(-20 + x) = -4.60 0.75x + (-20 * -0.05 + x * -0.05) = -4.60 0.75x + (1 + -0.05x) = -4.60 Reorder the terms: 1 + 0.75x + -0.05x = -4.60 Combine like terms: 0.75x + -0.05x = 0.7x 1 + 0.7x = -4.60 Solving 1 + 0.7x = -4.60 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 + 0.7x = -4.60 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7x = -4.60 + -1 0.7x = -4.60 + -1 Combine like terms: -4.60 + -1 = -5.6 0.7x = -5.6 Divide each side by '0.7'. x = -8 Simplifying x = -8
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