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Simplifying 0.7x + -1.5 = 3.8x + 2.8 Reorder the terms: -1.5 + 0.7x = 3.8x + 2.8 Reorder the terms: -1.5 + 0.7x = 2.8 + 3.8x Solving -1.5 + 0.7x = 2.8 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. -1.5 + 0.7x + -3.8x = 2.8 + 3.8x + -3.8x Combine like terms: 0.7x + -3.8x = -3.1x -1.5 + -3.1x = 2.8 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 -1.5 + -3.1x = 2.8 + 0.0 -1.5 + -3.1x = 2.8 Add '1.5' to each side of the equation. -1.5 + 1.5 + -3.1x = 2.8 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3.1x = 2.8 + 1.5 -3.1x = 2.8 + 1.5 Combine like terms: 2.8 + 1.5 = 4.3 -3.1x = 4.3 Divide each side by '-3.1'. x = -1.387096774 Simplifying x = -1.387096774
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