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Simplifying 2.3x + -1.1 + 5x = 2.9 + 5.7x + -10.6 Reorder the terms: -1.1 + 2.3x + 5x = 2.9 + 5.7x + -10.6 Combine like terms: 2.3x + 5x = 7.3x -1.1 + 7.3x = 2.9 + 5.7x + -10.6 Reorder the terms: -1.1 + 7.3x = 2.9 + -10.6 + 5.7x Combine like terms: 2.9 + -10.6 = -7.7 -1.1 + 7.3x = -7.7 + 5.7x Solving -1.1 + 7.3x = -7.7 + 5.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7x' to each side of the equation. -1.1 + 7.3x + -5.7x = -7.7 + 5.7x + -5.7x Combine like terms: 7.3x + -5.7x = 1.6x -1.1 + 1.6x = -7.7 + 5.7x + -5.7x Combine like terms: 5.7x + -5.7x = 0.0 -1.1 + 1.6x = -7.7 + 0.0 -1.1 + 1.6x = -7.7 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1.6x = -7.7 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1.6x = -7.7 + 1.1 1.6x = -7.7 + 1.1 Combine like terms: -7.7 + 1.1 = -6.6 1.6x = -6.6 Divide each side by '1.6'. x = -4.125 Simplifying x = -4.125
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