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Simplifying 2.7x + -6.0 + 3x = 2.9 + 4.1x + -10.7 Reorder the terms: -6.0 + 2.7x + 3x = 2.9 + 4.1x + -10.7 Combine like terms: 2.7x + 3x = 5.7x -6.0 + 5.7x = 2.9 + 4.1x + -10.7 Reorder the terms: -6.0 + 5.7x = 2.9 + -10.7 + 4.1x Combine like terms: 2.9 + -10.7 = -7.8 -6.0 + 5.7x = -7.8 + 4.1x Solving -6.0 + 5.7x = -7.8 + 4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1x' to each side of the equation. -6.0 + 5.7x + -4.1x = -7.8 + 4.1x + -4.1x Combine like terms: 5.7x + -4.1x = 1.6x -6.0 + 1.6x = -7.8 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 -6.0 + 1.6x = -7.8 + 0.0 -6.0 + 1.6x = -7.8 Add '6.0' to each side of the equation. -6.0 + 6.0 + 1.6x = -7.8 + 6.0 Combine like terms: -6.0 + 6.0 = 0.0 0.0 + 1.6x = -7.8 + 6.0 1.6x = -7.8 + 6.0 Combine like terms: -7.8 + 6.0 = -1.8 1.6x = -1.8 Divide each side by '1.6'. x = -1.125 Simplifying x = -1.125
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