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Simplifying 0.2x + 2.7 = -1.1x + 0.1 Reorder the terms: 2.7 + 0.2x = -1.1x + 0.1 Reorder the terms: 2.7 + 0.2x = 0.1 + -1.1x Solving 2.7 + 0.2x = 0.1 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 2.7 + 0.2x + 1.1x = 0.1 + -1.1x + 1.1x Combine like terms: 0.2x + 1.1x = 1.3x 2.7 + 1.3x = 0.1 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 2.7 + 1.3x = 0.1 + 0.0 2.7 + 1.3x = 0.1 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 1.3x = 0.1 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 1.3x = 0.1 + -2.7 1.3x = 0.1 + -2.7 Combine like terms: 0.1 + -2.7 = -2.6 1.3x = -2.6 Divide each side by '1.3'. x = -2 Simplifying x = -2
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