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Simplifying 2.5x + 1.5x + 8 = 3.8x + -1.6x Reorder the terms: 8 + 2.5x + 1.5x = 3.8x + -1.6x Combine like terms: 2.5x + 1.5x = 4x 8 + 4x = 3.8x + -1.6x Combine like terms: 3.8x + -1.6x = 2.2x 8 + 4x = 2.2x Solving 8 + 4x = 2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2x' to each side of the equation. 8 + 4x + -2.2x = 2.2x + -2.2x Combine like terms: 4x + -2.2x = 1.8x 8 + 1.8x = 2.2x + -2.2x Combine like terms: 2.2x + -2.2x = 0.0 8 + 1.8x = 0.0 Add '-8' to each side of the equation. 8 + -8 + 1.8x = 0.0 + -8 Combine like terms: 8 + -8 = 0 0 + 1.8x = 0.0 + -8 1.8x = 0.0 + -8 Combine like terms: 0.0 + -8 = -8 1.8x = -8 Divide each side by '1.8'. x = -4.444444444 Simplifying x = -4.444444444
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