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Simplifying 0.55x + 0.45(2 + -1x) = 0.9(-1) 0.55x + (2 * 0.45 + -1x * 0.45) = 0.9(-1) 0.55x + (0.9 + -0.45x) = 0.9(-1) Reorder the terms: 0.9 + 0.55x + -0.45x = 0.9(-1) Combine like terms: 0.55x + -0.45x = 0.1x 0.9 + 0.1x = 0.9(-1) Multiply 0.9 * -1 0.9 + 0.1x = -0.9 Solving 0.9 + 0.1x = -0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.1x = -0.9 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.1x = -0.9 + -0.9 0.1x = -0.9 + -0.9 Combine like terms: -0.9 + -0.9 = -1.8 0.1x = -1.8 Divide each side by '0.1'. x = -18 Simplifying x = -18
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