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Simplifying 0.75 = 0.5(x + 1) + 5 Reorder the terms: 0.75 = 0.5(1 + x) + 5 0.75 = (1 * 0.5 + x * 0.5) + 5 0.75 = (0.5 + 0.5x) + 5 Reorder the terms: 0.75 = 0.5 + 5 + 0.5x Combine like terms: 0.5 + 5 = 5.5 0.75 = 5.5 + 0.5x Solving 0.75 = 5.5 + 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. 0.75 + -0.5x = 5.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.75 + -0.5x = 5.5 + 0.0 0.75 + -0.5x = 5.5 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.5x = 5.5 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.5x = 5.5 + -0.75 -0.5x = 5.5 + -0.75 Combine like terms: 5.5 + -0.75 = 4.75 -0.5x = 4.75 Divide each side by '-0.5'. x = -9.5 Simplifying x = -9.5
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