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Simplifying 6x + 30 = -6(x + -9) Reorder the terms: 30 + 6x = -6(x + -9) Reorder the terms: 30 + 6x = -6(-9 + x) 30 + 6x = (-9 * -6 + x * -6) 30 + 6x = (54 + -6x) Solving 30 + 6x = 54 + -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. 30 + 6x + 6x = 54 + -6x + 6x Combine like terms: 6x + 6x = 12x 30 + 12x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + 12x = 54 + 0 30 + 12x = 54 Add '-30' to each side of the equation. 30 + -30 + 12x = 54 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 54 + -30 12x = 54 + -30 Combine like terms: 54 + -30 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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