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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 = -15x -72 + -15x = -147 + 3x + -3x Combine like terms: 3x + -3x = 0 -72 + -15x = -147 + 0 -72 + -15x = -147 Add '72' to each side of the equation. -72 + 72 + -15x = -147 + 72 Combine like terms: -72 + 72 = 0 0 + -15x = -147 + 72 -15x = -147 + 72 Combine like terms: -147 + 72 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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