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Simplifying 1.5x + 3.8 = 3.1x + -1 Reorder the terms: 3.8 + 1.5x = 3.1x + -1 Reorder the terms: 3.8 + 1.5x = -1 + 3.1x Solving 3.8 + 1.5x = -1 + 3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1x' to each side of the equation. 3.8 + 1.5x + -3.1x = -1 + 3.1x + -3.1x Combine like terms: 1.5x + -3.1x = -1.6x 3.8 + -1.6x = -1 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 3.8 + -1.6x = -1 + 0.0 3.8 + -1.6x = -1 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -1.6x = -1 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -1.6x = -1 + -3.8 -1.6x = -1 + -3.8 Combine like terms: -1 + -3.8 = -4.8 -1.6x = -4.8 Divide each side by '-1.6'. x = 3 Simplifying x = 3
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