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Simplifying 1.5(x + 1) + 3.5(x + 1) = 7.5 Reorder the terms: 1.5(1 + x) + 3.5(x + 1) = 7.5 (1 * 1.5 + x * 1.5) + 3.5(x + 1) = 7.5 (1.5 + 1.5x) + 3.5(x + 1) = 7.5 Reorder the terms: 1.5 + 1.5x + 3.5(1 + x) = 7.5 1.5 + 1.5x + (1 * 3.5 + x * 3.5) = 7.5 1.5 + 1.5x + (3.5 + 3.5x) = 7.5 Reorder the terms: 1.5 + 3.5 + 1.5x + 3.5x = 7.5 Combine like terms: 1.5 + 3.5 = 5 5 + 1.5x + 3.5x = 7.5 Combine like terms: 1.5x + 3.5x = 5x 5 + 5x = 7.5 Solving 5 + 5x = 7.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = 7.5 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 7.5 + -5 5x = 7.5 + -5 Combine like terms: 7.5 + -5 = 2.5 5x = 2.5 Divide each side by '5'. x = 0.5 Simplifying x = 0.5
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