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Simplifying 6(x + 4) = 12x + 30 Reorder the terms: 6(4 + x) = 12x + 30 (4 * 6 + x * 6) = 12x + 30 (24 + 6x) = 12x + 30 Reorder the terms: 24 + 6x = 30 + 12x Solving 24 + 6x = 30 + 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. 24 + 6x + -12x = 30 + 12x + -12x Combine like terms: 6x + -12x = -6x 24 + -6x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6x = 30 + 0 24 + -6x = 30 Add '-24' to each side of the equation. 24 + -24 + -6x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 30 + -24 -6x = 30 + -24 Combine like terms: 30 + -24 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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