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Simplifying 0.55x + 0.05(14 + -1x) = 0.10(-33) 0.55x + (14 * 0.05 + -1x * 0.05) = 0.10(-33) 0.55x + (0.7 + -0.05x) = 0.10(-33) Reorder the terms: 0.7 + 0.55x + -0.05x = 0.10(-33) Combine like terms: 0.55x + -0.05x = 0.5x 0.7 + 0.5x = 0.10(-33) Multiply 0.10 * -33 0.7 + 0.5x = -3.3 Solving 0.7 + 0.5x = -3.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.5x = -3.3 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.5x = -3.3 + -0.7 0.5x = -3.3 + -0.7 Combine like terms: -3.3 + -0.7 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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