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Simplifying -12(x + 6) = -3(x + -49) Reorder the terms: -12(6 + x) = -3(x + -49) (6 * -12 + x * -12) = -3(x + -49) (-72 + -12x) = -3(x + -49) Reorder the terms: -72 + -12x = -3(-49 + x) -72 + -12x = (-49 * -3 + x * -3) -72 + -12x = (147 + -3x) Solving -72 + -12x = 147 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -72 + -12x + 3x = 147 + -3x + 3x Combine like terms: -12x + 3x = -9x -72 + -9x = 147 + -3x + 3x Combine like terms: -3x + 3x = 0 -72 + -9x = 147 + 0 -72 + -9x = 147 Add '72' to each side of the equation. -72 + 72 + -9x = 147 + 72 Combine like terms: -72 + 72 = 0 0 + -9x = 147 + 72 -9x = 147 + 72 Combine like terms: 147 + 72 = 219 -9x = 219 Divide each side by '-9'. x = -24.33333333 Simplifying x = -24.33333333
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