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Simplifying 2(x + 4) = 23 + -0.5x Reorder the terms: 2(4 + x) = 23 + -0.5x (4 * 2 + x * 2) = 23 + -0.5x (8 + 2x) = 23 + -0.5x Solving 8 + 2x = 23 + -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. 8 + 2x + 0.5x = 23 + -0.5x + 0.5x Combine like terms: 2x + 0.5x = 2.5x 8 + 2.5x = 23 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 8 + 2.5x = 23 + 0.0 8 + 2.5x = 23 Add '-8' to each side of the equation. 8 + -8 + 2.5x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 2.5x = 23 + -8 2.5x = 23 + -8 Combine like terms: 23 + -8 = 15 2.5x = 15 Divide each side by '2.5'. x = 6 Simplifying x = 6
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