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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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