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Simplifying -6(x + 12) + -15(x + 12) = 0 Reorder the terms: -6(12 + x) + -15(x + 12) = 0 (12 * -6 + x * -6) + -15(x + 12) = 0 (-72 + -6x) + -15(x + 12) = 0 Reorder the terms: -72 + -6x + -15(12 + x) = 0 -72 + -6x + (12 * -15 + x * -15) = 0 -72 + -6x + (-180 + -15x) = 0 Reorder the terms: -72 + -180 + -6x + -15x = 0 Combine like terms: -72 + -180 = -252 -252 + -6x + -15x = 0 Combine like terms: -6x + -15x = -21x -252 + -21x = 0 Solving -252 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '252' to each side of the equation. -252 + 252 + -21x = 0 + 252 Combine like terms: -252 + 252 = 0 0 + -21x = 0 + 252 -21x = 0 + 252 Combine like terms: 0 + 252 = 252 -21x = 252 Divide each side by '-21'. x = -12 Simplifying x = -12
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