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Simplifying 2.5x + -11.5x + 8 = 3.8x + -1.6 Reorder the terms: 8 + 2.5x + -11.5x = 3.8x + -1.6 Combine like terms: 2.5x + -11.5x = -9x 8 + -9x = 3.8x + -1.6 Reorder the terms: 8 + -9x = -1.6 + 3.8x Solving 8 + -9x = -1.6 + 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. 8 + -9x + -3.8x = -1.6 + 3.8x + -3.8x Combine like terms: -9x + -3.8x = -12.8x 8 + -12.8x = -1.6 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 8 + -12.8x = -1.6 + 0.0 8 + -12.8x = -1.6 Add '-8' to each side of the equation. 8 + -8 + -12.8x = -1.6 + -8 Combine like terms: 8 + -8 = 0 0 + -12.8x = -1.6 + -8 -12.8x = -1.6 + -8 Combine like terms: -1.6 + -8 = -9.6 -12.8x = -9.6 Divide each side by '-12.8'. x = 0.75 Simplifying x = 0.75
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