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Simplifying 0.5(1 + x) = 0.75x + -5 (1 * 0.5 + x * 0.5) = 0.75x + -5 (0.5 + 0.5x) = 0.75x + -5 Reorder the terms: 0.5 + 0.5x = -5 + 0.75x Solving 0.5 + 0.5x = -5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 0.5 + 0.5x + -0.75x = -5 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 0.5 + -0.25x = -5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.5 + -0.25x = -5 + 0.00 0.5 + -0.25x = -5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.25x = -5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.25x = -5 + -0.5 -0.25x = -5 + -0.5 Combine like terms: -5 + -0.5 = -5.5 -0.25x = -5.5 Divide each side by '-0.25'. x = 22 Simplifying x = 22
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