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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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