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Simplifying 0.5(14x + 30) = 12x + 55 Reorder the terms: 0.5(30 + 14x) = 12x + 55 (30 * 0.5 + 14x * 0.5) = 12x + 55 (15 + 7x) = 12x + 55 Reorder the terms: 15 + 7x = 55 + 12x Solving 15 + 7x = 55 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 7x + -12x = 55 + 12x + -12x Combine like terms: 7x + -12x = -5x 15 + -5x = 55 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -5x = 55 + 0 15 + -5x = 55 Add '-15' to each side of the equation. 15 + -15 + -5x = 55 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 55 + -15 -5x = 55 + -15 Combine like terms: 55 + -15 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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