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Simplifying 2.2x + 2.7 = -1.8x + -5.3 Reorder the terms: 2.7 + 2.2x = -1.8x + -5.3 Reorder the terms: 2.7 + 2.2x = -5.3 + -1.8x Solving 2.7 + 2.2x = -5.3 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. 2.7 + 2.2x + 1.8x = -5.3 + -1.8x + 1.8x Combine like terms: 2.2x + 1.8x = 4x 2.7 + 4x = -5.3 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 2.7 + 4x = -5.3 + 0.0 2.7 + 4x = -5.3 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 4x = -5.3 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 4x = -5.3 + -2.7 4x = -5.3 + -2.7 Combine like terms: -5.3 + -2.7 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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