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Simplifying 7x + 2.7 + -4.8x = 0.4x + -5.4 Reorder the terms: 2.7 + 7x + -4.8x = 0.4x + -5.4 Combine like terms: 7x + -4.8x = 2.2x 2.7 + 2.2x = 0.4x + -5.4 Reorder the terms: 2.7 + 2.2x = -5.4 + 0.4x Solving 2.7 + 2.2x = -5.4 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 2.7 + 2.2x + -0.4x = -5.4 + 0.4x + -0.4x Combine like terms: 2.2x + -0.4x = 1.8x 2.7 + 1.8x = -5.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2.7 + 1.8x = -5.4 + 0.0 2.7 + 1.8x = -5.4 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 1.8x = -5.4 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 1.8x = -5.4 + -2.7 1.8x = -5.4 + -2.7 Combine like terms: -5.4 + -2.7 = -8.1 1.8x = -8.1 Divide each side by '1.8'. x = -4.5 Simplifying x = -4.5
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