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Simplifying 1 + 6x + 4.5 = 3x + 8.5 Reorder the terms: 1 + 4.5 + 6x = 3x + 8.5 Combine like terms: 1 + 4.5 = 5.5 5.5 + 6x = 3x + 8.5 Reorder the terms: 5.5 + 6x = 8.5 + 3x Solving 5.5 + 6x = 8.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5.5 + 6x + -3x = 8.5 + 3x + -3x Combine like terms: 6x + -3x = 3x 5.5 + 3x = 8.5 + 3x + -3x Combine like terms: 3x + -3x = 0 5.5 + 3x = 8.5 + 0 5.5 + 3x = 8.5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 3x = 8.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 3x = 8.5 + -5.5 3x = 8.5 + -5.5 Combine like terms: 8.5 + -5.5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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