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Simplifying 0.70x + 0.5(12 + -1x) = 0.10(-33) 0.70x + (12 * 0.5 + -1x * 0.5) = 0.10(-33) 0.70x + (6 + -0.5x) = 0.10(-33) Reorder the terms: 6 + 0.70x + -0.5x = 0.10(-33) Combine like terms: 0.70x + -0.5x = 0.2x 6 + 0.2x = 0.10(-33) Multiply 0.10 * -33 6 + 0.2x = -3.3 Solving 6 + 0.2x = -3.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.2x = -3.3 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = -3.3 + -6 0.2x = -3.3 + -6 Combine like terms: -3.3 + -6 = -9.3 0.2x = -9.3 Divide each side by '0.2'. x = -46.5 Simplifying x = -46.5
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