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Simplifying -8.8 + 3 + -6.6 + 2x + -2.7 = 5.2 + 6x + 1.1 Reorder the terms: -8.8 + 3 + -6.6 + -2.7 + 2x = 5.2 + 6x + 1.1 Combine like terms: -8.8 + 3 = -5.8 -5.8 + -6.6 + -2.7 + 2x = 5.2 + 6x + 1.1 Combine like terms: -5.8 + -6.6 = -12.4 -12.4 + -2.7 + 2x = 5.2 + 6x + 1.1 Combine like terms: -12.4 + -2.7 = -15.1 -15.1 + 2x = 5.2 + 6x + 1.1 Reorder the terms: -15.1 + 2x = 5.2 + 1.1 + 6x Combine like terms: 5.2 + 1.1 = 6.3 -15.1 + 2x = 6.3 + 6x Solving -15.1 + 2x = 6.3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15.1 + 2x + -6x = 6.3 + 6x + -6x Combine like terms: 2x + -6x = -4x -15.1 + -4x = 6.3 + 6x + -6x Combine like terms: 6x + -6x = 0 -15.1 + -4x = 6.3 + 0 -15.1 + -4x = 6.3 Add '15.1' to each side of the equation. -15.1 + 15.1 + -4x = 6.3 + 15.1 Combine like terms: -15.1 + 15.1 = 0.0 0.0 + -4x = 6.3 + 15.1 -4x = 6.3 + 15.1 Combine like terms: 6.3 + 15.1 = 21.4 -4x = 21.4 Divide each side by '-4'. x = -5.35 Simplifying x = -5.35
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