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Simplifying 7x + 1.8 + -4.9x = 0.5x + -5.4 Reorder the terms: 1.8 + 7x + -4.9x = 0.5x + -5.4 Combine like terms: 7x + -4.9x = 2.1x 1.8 + 2.1x = 0.5x + -5.4 Reorder the terms: 1.8 + 2.1x = -5.4 + 0.5x Solving 1.8 + 2.1x = -5.4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.8 + 2.1x + -0.5x = -5.4 + 0.5x + -0.5x Combine like terms: 2.1x + -0.5x = 1.6x 1.8 + 1.6x = -5.4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.8 + 1.6x = -5.4 + 0.0 1.8 + 1.6x = -5.4 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 1.6x = -5.4 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.6x = -5.4 + -1.8 1.6x = -5.4 + -1.8 Combine like terms: -5.4 + -1.8 = -7.2 1.6x = -7.2 Divide each side by '1.6'. x = -4.5 Simplifying x = -4.5
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