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Simplifying (3x + 12) = 40 + -0.5x Reorder the terms: (12 + 3x) = 40 + -0.5x Remove parenthesis around (12 + 3x) 12 + 3x = 40 + -0.5x Solving 12 + 3x = 40 + -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. 12 + 3x + 0.5x = 40 + -0.5x + 0.5x Combine like terms: 3x + 0.5x = 3.5x 12 + 3.5x = 40 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 12 + 3.5x = 40 + 0.0 12 + 3.5x = 40 Add '-12' to each side of the equation. 12 + -12 + 3.5x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 3.5x = 40 + -12 3.5x = 40 + -12 Combine like terms: 40 + -12 = 28 3.5x = 28 Divide each side by '3.5'. x = 8 Simplifying x = 8
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