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Simplifying 0.5(5x + 4) = 2x + 3 Reorder the terms: 0.5(4 + 5x) = 2x + 3 (4 * 0.5 + 5x * 0.5) = 2x + 3 (2 + 2.5x) = 2x + 3 Reorder the terms: 2 + 2.5x = 3 + 2x Solving 2 + 2.5x = 3 + 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. 2 + 2.5x + -2x = 3 + 2x + -2x Combine like terms: 2.5x + -2x = 0.5x 2 + 0.5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 0.5x = 3 + 0 2 + 0.5x = 3 Add '-2' to each side of the equation. 2 + -2 + 0.5x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 3 + -2 0.5x = 3 + -2 Combine like terms: 3 + -2 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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