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Simplifying 4.8x + 38.3 = 10.9 + -8.9x Reorder the terms: 38.3 + 4.8x = 10.9 + -8.9x Solving 38.3 + 4.8x = 10.9 + -8.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.9x' to each side of the equation. 38.3 + 4.8x + 8.9x = 10.9 + -8.9x + 8.9x Combine like terms: 4.8x + 8.9x = 13.7x 38.3 + 13.7x = 10.9 + -8.9x + 8.9x Combine like terms: -8.9x + 8.9x = 0.0 38.3 + 13.7x = 10.9 + 0.0 38.3 + 13.7x = 10.9 Add '-38.3' to each side of the equation. 38.3 + -38.3 + 13.7x = 10.9 + -38.3 Combine like terms: 38.3 + -38.3 = 0.0 0.0 + 13.7x = 10.9 + -38.3 13.7x = 10.9 + -38.3 Combine like terms: 10.9 + -38.3 = -27.4 13.7x = -27.4 Divide each side by '13.7'. x = -2 Simplifying x = -2
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