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Simplifying 1.3x + 1.1 = -36.7 + 5.5x Reorder the terms: 1.1 + 1.3x = -36.7 + 5.5x Solving 1.1 + 1.3x = -36.7 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 1.1 + 1.3x + -5.5x = -36.7 + 5.5x + -5.5x Combine like terms: 1.3x + -5.5x = -4.2x 1.1 + -4.2x = -36.7 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 1.1 + -4.2x = -36.7 + 0.0 1.1 + -4.2x = -36.7 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -4.2x = -36.7 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -4.2x = -36.7 + -1.1 -4.2x = -36.7 + -1.1 Combine like terms: -36.7 + -1.1 = -37.8 -4.2x = -37.8 Divide each side by '-4.2'. x = 9 Simplifying x = 9
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