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Simplifying 0.5(x + 39) = 7x Reorder the terms: 0.5(39 + x) = 7x (39 * 0.5 + x * 0.5) = 7x (19.5 + 0.5x) = 7x Solving 19.5 + 0.5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19.5 + 0.5x + -7x = 7x + -7x Combine like terms: 0.5x + -7x = -6.5x 19.5 + -6.5x = 7x + -7x Combine like terms: 7x + -7x = 0 19.5 + -6.5x = 0 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -6.5x = 0 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -6.5x = 0 + -19.5 -6.5x = 0 + -19.5 Combine like terms: 0 + -19.5 = -19.5 -6.5x = -19.5 Divide each side by '-6.5'. x = 3 Simplifying x = 3
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