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Simplifying 2x + 3 = 0.5(5x + 4) Reorder the terms: 3 + 2x = 0.5(5x + 4) Reorder the terms: 3 + 2x = 0.5(4 + 5x) 3 + 2x = (4 * 0.5 + 5x * 0.5) 3 + 2x = (2 + 2.5x) Solving 3 + 2x = 2 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 3 + 2x + -2.5x = 2 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x 3 + -0.5x = 2 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 3 + -0.5x = 2 + 0.0 3 + -0.5x = 2 Add '-3' to each side of the equation. 3 + -3 + -0.5x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x = 2 + -3 -0.5x = 2 + -3 Combine like terms: 2 + -3 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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