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Simplifying 1.2x + 3.1 = 3.5x + -3.8 Reorder the terms: 3.1 + 1.2x = 3.5x + -3.8 Reorder the terms: 3.1 + 1.2x = -3.8 + 3.5x Solving 3.1 + 1.2x = -3.8 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 3.1 + 1.2x + -3.5x = -3.8 + 3.5x + -3.5x Combine like terms: 1.2x + -3.5x = -2.3x 3.1 + -2.3x = -3.8 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 3.1 + -2.3x = -3.8 + 0.0 3.1 + -2.3x = -3.8 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -2.3x = -3.8 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -2.3x = -3.8 + -3.1 -2.3x = -3.8 + -3.1 Combine like terms: -3.8 + -3.1 = -6.9 -2.3x = -6.9 Divide each side by '-2.3'. x = 3 Simplifying x = 3
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