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Simplifying 2.8x + -4.5 + 5x = 2.8 + 6.2x + -10.7 Reorder the terms: -4.5 + 2.8x + 5x = 2.8 + 6.2x + -10.7 Combine like terms: 2.8x + 5x = 7.8x -4.5 + 7.8x = 2.8 + 6.2x + -10.7 Reorder the terms: -4.5 + 7.8x = 2.8 + -10.7 + 6.2x Combine like terms: 2.8 + -10.7 = -7.9 -4.5 + 7.8x = -7.9 + 6.2x Solving -4.5 + 7.8x = -7.9 + 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. -4.5 + 7.8x + -6.2x = -7.9 + 6.2x + -6.2x Combine like terms: 7.8x + -6.2x = 1.6x -4.5 + 1.6x = -7.9 + 6.2x + -6.2x Combine like terms: 6.2x + -6.2x = 0.0 -4.5 + 1.6x = -7.9 + 0.0 -4.5 + 1.6x = -7.9 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1.6x = -7.9 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1.6x = -7.9 + 4.5 1.6x = -7.9 + 4.5 Combine like terms: -7.9 + 4.5 = -3.4 1.6x = -3.4 Divide each side by '1.6'. x = -2.125 Simplifying x = -2.125
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