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Simplifying 0.85x + 0.05(20 + -1x) = 0.10(-70) 0.85x + (20 * 0.05 + -1x * 0.05) = 0.10(-70) 0.85x + (1 + -0.05x) = 0.10(-70) Reorder the terms: 1 + 0.85x + -0.05x = 0.10(-70) Combine like terms: 0.85x + -0.05x = 0.8x 1 + 0.8x = 0.10(-70) Multiply 0.10 * -70 1 + 0.8x = -7 Solving 1 + 0.8x = -7 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 + 0.8x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 0.8x = -7 + -1 0.8x = -7 + -1 Combine like terms: -7 + -1 = -8 0.8x = -8 Divide each side by '0.8'. x = -10 Simplifying x = -10
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