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Simplifying 756 = 450 + 0.5(x + 1) Reorder the terms: 756 = 450 + 0.5(1 + x) 756 = 450 + (1 * 0.5 + x * 0.5) 756 = 450 + (0.5 + 0.5x) Combine like terms: 450 + 0.5 = 450.5 756 = 450.5 + 0.5x Solving 756 = 450.5 + 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. 756 + -0.5x = 450.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 756 + -0.5x = 450.5 + 0.0 756 + -0.5x = 450.5 Add '-756' to each side of the equation. 756 + -756 + -0.5x = 450.5 + -756 Combine like terms: 756 + -756 = 0 0 + -0.5x = 450.5 + -756 -0.5x = 450.5 + -756 Combine like terms: 450.5 + -756 = -305.5 -0.5x = -305.5 Divide each side by '-0.5'. x = 611 Simplifying x = 611
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