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Simplifying 0.5(1.3x + 9) = 5 + 0.25x Reorder the terms: 0.5(9 + 1.3x) = 5 + 0.25x (9 * 0.5 + 1.3x * 0.5) = 5 + 0.25x (4.5 + 0.65x) = 5 + 0.25x Solving 4.5 + 0.65x = 5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 4.5 + 0.65x + -0.25x = 5 + 0.25x + -0.25x Combine like terms: 0.65x + -0.25x = 0.4x 4.5 + 0.4x = 5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 4.5 + 0.4x = 5 + 0.00 4.5 + 0.4x = 5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.4x = 5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.4x = 5 + -4.5 0.4x = 5 + -4.5 Combine like terms: 5 + -4.5 = 0.5 0.4x = 0.5 Divide each side by '0.4'. x = 1.25 Simplifying x = 1.25
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