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Simplifying 30 + 2x = 2(3 + 4x) 30 + 2x = (3 * 2 + 4x * 2) 30 + 2x = (6 + 8x) Solving 30 + 2x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 2x + -8x = 6 + 8x + -8x Combine like terms: 2x + -8x = -6x 30 + -6x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -6x = 6 + 0 30 + -6x = 6 Add '-30' to each side of the equation. 30 + -30 + -6x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 6 + -30 -6x = 6 + -30 Combine like terms: 6 + -30 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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