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Simplifying 0.75x + 0.5(x + 6) = 9 + 0.5x Reorder the terms: 0.75x + 0.5(6 + x) = 9 + 0.5x 0.75x + (6 * 0.5 + x * 0.5) = 9 + 0.5x 0.75x + (3 + 0.5x) = 9 + 0.5x Reorder the terms: 3 + 0.75x + 0.5x = 9 + 0.5x Combine like terms: 0.75x + 0.5x = 1.25x 3 + 1.25x = 9 + 0.5x Solving 3 + 1.25x = 9 + 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. 3 + 1.25x + -0.5x = 9 + 0.5x + -0.5x Combine like terms: 1.25x + -0.5x = 0.75x 3 + 0.75x = 9 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 0.75x = 9 + 0.0 3 + 0.75x = 9 Add '-3' to each side of the equation. 3 + -3 + 0.75x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 0.75x = 9 + -3 0.75x = 9 + -3 Combine like terms: 9 + -3 = 6 0.75x = 6 Divide each side by '0.75'. x = 8 Simplifying x = 8
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