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Simplifying 6(x + -9) = -12(x + -3) Reorder the terms: 6(-9 + x) = -12(x + -3) (-9 * 6 + x * 6) = -12(x + -3) (-54 + 6x) = -12(x + -3) Reorder the terms: -54 + 6x = -12(-3 + x) -54 + 6x = (-3 * -12 + x * -12) -54 + 6x = (36 + -12x) Solving -54 + 6x = 36 + -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. -54 + 6x + 12x = 36 + -12x + 12x Combine like terms: 6x + 12x = 18x -54 + 18x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 -54 + 18x = 36 + 0 -54 + 18x = 36 Add '54' to each side of the equation. -54 + 54 + 18x = 36 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 36 + 54 18x = 36 + 54 Combine like terms: 36 + 54 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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