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Simplifying 2.8x + -4.8 + 5x = 2.4 + 6.2x + -10.6 Reorder the terms: -4.8 + 2.8x + 5x = 2.4 + 6.2x + -10.6 Combine like terms: 2.8x + 5x = 7.8x -4.8 + 7.8x = 2.4 + 6.2x + -10.6 Reorder the terms: -4.8 + 7.8x = 2.4 + -10.6 + 6.2x Combine like terms: 2.4 + -10.6 = -8.2 -4.8 + 7.8x = -8.2 + 6.2x Solving -4.8 + 7.8x = -8.2 + 6.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.2x' to each side of the equation. -4.8 + 7.8x + -6.2x = -8.2 + 6.2x + -6.2x Combine like terms: 7.8x + -6.2x = 1.6x -4.8 + 1.6x = -8.2 + 6.2x + -6.2x Combine like terms: 6.2x + -6.2x = 0.0 -4.8 + 1.6x = -8.2 + 0.0 -4.8 + 1.6x = -8.2 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1.6x = -8.2 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1.6x = -8.2 + 4.8 1.6x = -8.2 + 4.8 Combine like terms: -8.2 + 4.8 = -3.4 1.6x = -3.4 Divide each side by '1.6'. x = -2.125 Simplifying x = -2.125
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