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Simplifying 0.5x + 12 = 5(x + 2 + 4) Reorder the terms: 12 + 0.5x = 5(x + 2 + 4) Reorder the terms: 12 + 0.5x = 5(2 + 4 + x) Combine like terms: 2 + 4 = 6 12 + 0.5x = 5(6 + x) 12 + 0.5x = (6 * 5 + x * 5) 12 + 0.5x = (30 + 5x) Solving 12 + 0.5x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 0.5x + -5x = 30 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x 12 + -4.5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -4.5x = 30 + 0 12 + -4.5x = 30 Add '-12' to each side of the equation. 12 + -12 + -4.5x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -4.5x = 30 + -12 -4.5x = 30 + -12 Combine like terms: 30 + -12 = 18 -4.5x = 18 Divide each side by '-4.5'. x = -4 Simplifying x = -4
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