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Simplifying 0.70x + 0.5(8 + -1x) = 0.10(-74) 0.70x + (8 * 0.5 + -1x * 0.5) = 0.10(-74) 0.70x + (4 + -0.5x) = 0.10(-74) Reorder the terms: 4 + 0.70x + -0.5x = 0.10(-74) Combine like terms: 0.70x + -0.5x = 0.2x 4 + 0.2x = 0.10(-74) Multiply 0.10 * -74 4 + 0.2x = -7.4 Solving 4 + 0.2x = -7.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.2x = -7.4 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = -7.4 + -4 0.2x = -7.4 + -4 Combine like terms: -7.4 + -4 = -11.4 0.2x = -11.4 Divide each side by '0.2'. x = -57 Simplifying x = -57
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