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Simplifying 1.1x + 8 = 0.5x + 29 Reorder the terms: 8 + 1.1x = 0.5x + 29 Reorder the terms: 8 + 1.1x = 29 + 0.5x Solving 8 + 1.1x = 29 + 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. 8 + 1.1x + -0.5x = 29 + 0.5x + -0.5x Combine like terms: 1.1x + -0.5x = 0.6x 8 + 0.6x = 29 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + 0.6x = 29 + 0.0 8 + 0.6x = 29 Add '-8' to each side of the equation. 8 + -8 + 0.6x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 0.6x = 29 + -8 0.6x = 29 + -8 Combine like terms: 29 + -8 = 21 0.6x = 21 Divide each side by '0.6'. x = 35 Simplifying x = 35
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