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Simplifying 1 = 0.2x + -0.9x + -27 Reorder the terms: 1 = -27 + 0.2x + -0.9x Combine like terms: 0.2x + -0.9x = -0.7x 1 = -27 + -0.7x Solving 1 = -27 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 1 + 0.7x = -27 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 1 + 0.7x = -27 + 0.0 1 + 0.7x = -27 Add '-1' to each side of the equation. 1 + -1 + 0.7x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7x = -27 + -1 0.7x = -27 + -1 Combine like terms: -27 + -1 = -28 0.7x = -28 Divide each side by '0.7'. x = -40 Simplifying x = -40
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