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Simplifying 4(3 + 6x) = 30 + 6x (3 * 4 + 6x * 4) = 30 + 6x (12 + 24x) = 30 + 6x Solving 12 + 24x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 24x + -6x = 30 + 6x + -6x Combine like terms: 24x + -6x = 18x 12 + 18x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 18x = 30 + 0 12 + 18x = 30 Add '-12' to each side of the equation. 12 + -12 + 18x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 30 + -12 18x = 30 + -12 Combine like terms: 30 + -12 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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