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Simplifying 6(2x + 4) + 30 = -3(9x + -5) Reorder the terms: 6(4 + 2x) + 30 = -3(9x + -5) (4 * 6 + 2x * 6) + 30 = -3(9x + -5) (24 + 12x) + 30 = -3(9x + -5) Reorder the terms: 24 + 30 + 12x = -3(9x + -5) Combine like terms: 24 + 30 = 54 54 + 12x = -3(9x + -5) Reorder the terms: 54 + 12x = -3(-5 + 9x) 54 + 12x = (-5 * -3 + 9x * -3) 54 + 12x = (15 + -27x) Solving 54 + 12x = 15 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 54 + 12x + 27x = 15 + -27x + 27x Combine like terms: 12x + 27x = 39x 54 + 39x = 15 + -27x + 27x Combine like terms: -27x + 27x = 0 54 + 39x = 15 + 0 54 + 39x = 15 Add '-54' to each side of the equation. 54 + -54 + 39x = 15 + -54 Combine like terms: 54 + -54 = 0 0 + 39x = 15 + -54 39x = 15 + -54 Combine like terms: 15 + -54 = -39 39x = -39 Divide each side by '39'. x = -1 Simplifying x = -1
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