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Simplifying 0.80x + 0.50(2 + -1x) = 0.10(-74) 0.80x + (2 * 0.50 + -1x * 0.50) = 0.10(-74) 0.80x + (1 + -0.5x) = 0.10(-74) Reorder the terms: 1 + 0.80x + -0.5x = 0.10(-74) Combine like terms: 0.80x + -0.5x = 0.3x 1 + 0.3x = 0.10(-74) Multiply 0.10 * -74 1 + 0.3x = -7.4 Solving 1 + 0.3x = -7.4 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 + 0.3x = -7.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.3x = -7.4 + -1 0.3x = -7.4 + -1 Combine like terms: -7.4 + -1 = -8.4 0.3x = -8.4 Divide each side by '0.3'. x = -28 Simplifying x = -28
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