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Simplifying 39 + -0.5x = 0.5(9x + 8) Reorder the terms: 39 + -0.5x = 0.5(8 + 9x) 39 + -0.5x = (8 * 0.5 + 9x * 0.5) 39 + -0.5x = (4 + 4.5x) Solving 39 + -0.5x = 4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 39 + -0.5x + -4.5x = 4 + 4.5x + -4.5x Combine like terms: -0.5x + -4.5x = -5x 39 + -5x = 4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 39 + -5x = 4 + 0.0 39 + -5x = 4 Add '-39' to each side of the equation. 39 + -39 + -5x = 4 + -39 Combine like terms: 39 + -39 = 0 0 + -5x = 4 + -39 -5x = 4 + -39 Combine like terms: 4 + -39 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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