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Simplifying 3x + 8 = 0.5(2x) + 24 Reorder the terms: 8 + 3x = 0.5(2x) + 24 Remove parenthesis around (2x) 8 + 3x = 0.5 * 2x + 24 Multiply 0.5 * 2 8 + 3x = 1x + 24 Reorder the terms: 8 + 3x = 24 + 1x Solving 8 + 3x = 24 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 3x + -1x = 24 + 1x + -1x Combine like terms: 3x + -1x = 2x 8 + 2x = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 2x = 24 + 0 8 + 2x = 24 Add '-8' to each side of the equation. 8 + -8 + 2x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 24 + -8 2x = 24 + -8 Combine like terms: 24 + -8 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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