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Simplifying 30 + 5x = 3 + 6(1 + 2x) 30 + 5x = 3 + (1 * 6 + 2x * 6) 30 + 5x = 3 + (6 + 12x) Combine like terms: 3 + 6 = 9 30 + 5x = 9 + 12x Solving 30 + 5x = 9 + 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 + 5x + -12x = 9 + 12x + -12x Combine like terms: 5x + -12x = -7x 30 + -7x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -7x = 9 + 0 30 + -7x = 9 Add '-30' to each side of the equation. 30 + -30 + -7x = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 9 + -30 -7x = 9 + -30 Combine like terms: 9 + -30 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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