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Simplifying 0.5x + 21 = 5(x + 6) Reorder the terms: 21 + 0.5x = 5(x + 6) Reorder the terms: 21 + 0.5x = 5(6 + x) 21 + 0.5x = (6 * 5 + x * 5) 21 + 0.5x = (30 + 5x) Solving 21 + 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. 21 + 0.5x + -5x = 30 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x 21 + -4.5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -4.5x = 30 + 0 21 + -4.5x = 30 Add '-21' to each side of the equation. 21 + -21 + -4.5x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -4.5x = 30 + -21 -4.5x = 30 + -21 Combine like terms: 30 + -21 = 9 -4.5x = 9 Divide each side by '-4.5'. x = -2 Simplifying x = -2
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