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Simplifying 5(0.5x + 2) = 2x + 44 Reorder the terms: 5(2 + 0.5x) = 2x + 44 (2 * 5 + 0.5x * 5) = 2x + 44 (10 + 2.5x) = 2x + 44 Reorder the terms: 10 + 2.5x = 44 + 2x Solving 10 + 2.5x = 44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 2.5x + -2x = 44 + 2x + -2x Combine like terms: 2.5x + -2x = 0.5x 10 + 0.5x = 44 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0.5x = 44 + 0 10 + 0.5x = 44 Add '-10' to each side of the equation. 10 + -10 + 0.5x = 44 + -10 Combine like terms: 10 + -10 = 0 0 + 0.5x = 44 + -10 0.5x = 44 + -10 Combine like terms: 44 + -10 = 34 0.5x = 34 Divide each side by '0.5'. x = 68 Simplifying x = 68
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