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Simplifying 30 = 4(3x + 5) + -2 Reorder the terms: 30 = 4(5 + 3x) + -2 30 = (5 * 4 + 3x * 4) + -2 30 = (20 + 12x) + -2 Reorder the terms: 30 = 20 + -2 + 12x Combine like terms: 20 + -2 = 18 30 = 18 + 12x Solving 30 = 18 + 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. 30 + -12x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -12x = 18 + 0 30 + -12x = 18 Add '-30' to each side of the equation. 30 + -30 + -12x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 18 + -30 -12x = 18 + -30 Combine like terms: 18 + -30 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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