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Simplifying 0.5(9x + 4) = 0.5x + 13 Reorder the terms: 0.5(4 + 9x) = 0.5x + 13 (4 * 0.5 + 9x * 0.5) = 0.5x + 13 (2 + 4.5x) = 0.5x + 13 Reorder the terms: 2 + 4.5x = 13 + 0.5x Solving 2 + 4.5x = 13 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2 + 4.5x + -0.5x = 13 + 0.5x + -0.5x Combine like terms: 4.5x + -0.5x = 4x 2 + 4x = 13 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 4x = 13 + 0.0 2 + 4x = 13 Add '-2' to each side of the equation. 2 + -2 + 4x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 13 + -2 4x = 13 + -2 Combine like terms: 13 + -2 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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