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Simplifying 0.55x + 0.45(4 + -1x) = 0.5(-1) 0.55x + (4 * 0.45 + -1x * 0.45) = 0.5(-1) 0.55x + (1.8 + -0.45x) = 0.5(-1) Reorder the terms: 1.8 + 0.55x + -0.45x = 0.5(-1) Combine like terms: 0.55x + -0.45x = 0.1x 1.8 + 0.1x = 0.5(-1) Multiply 0.5 * -1 1.8 + 0.1x = -0.5 Solving 1.8 + 0.1x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.1x = -0.5 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.1x = -0.5 + -1.8 0.1x = -0.5 + -1.8 Combine like terms: -0.5 + -1.8 = -2.3 0.1x = -2.3 Divide each side by '0.1'. x = -23 Simplifying x = -23
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