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Simplifying 3.6x + 0.5 = -1.7x + -4.8 Reorder the terms: 0.5 + 3.6x = -1.7x + -4.8 Reorder the terms: 0.5 + 3.6x = -4.8 + -1.7x Solving 0.5 + 3.6x = -4.8 + -1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7x' to each side of the equation. 0.5 + 3.6x + 1.7x = -4.8 + -1.7x + 1.7x Combine like terms: 3.6x + 1.7x = 5.3x 0.5 + 5.3x = -4.8 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 0.5 + 5.3x = -4.8 + 0.0 0.5 + 5.3x = -4.8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 5.3x = -4.8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 5.3x = -4.8 + -0.5 5.3x = -4.8 + -0.5 Combine like terms: -4.8 + -0.5 = -5.3 5.3x = -5.3 Divide each side by '5.3'. x = -1 Simplifying x = -1
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