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Simplifying 0.75(2x + 2) + 3.5 = 8 + 0.5x Reorder the terms: 0.75(2 + 2x) + 3.5 = 8 + 0.5x (2 * 0.75 + 2x * 0.75) + 3.5 = 8 + 0.5x (1.5 + 1.5x) + 3.5 = 8 + 0.5x Reorder the terms: 1.5 + 3.5 + 1.5x = 8 + 0.5x Combine like terms: 1.5 + 3.5 = 5 5 + 1.5x = 8 + 0.5x Solving 5 + 1.5x = 8 + 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. 5 + 1.5x + -0.5x = 8 + 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 5 + 1x = 8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 1x = 8 + 0.0 5 + 1x = 8 Add '-5' to each side of the equation. 5 + -5 + 1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 8 + -5 1x = 8 + -5 Combine like terms: 8 + -5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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