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Simplifying 12(x + 5) = -3(x + 30) Reorder the terms: 12(5 + x) = -3(x + 30) (5 * 12 + x * 12) = -3(x + 30) (60 + 12x) = -3(x + 30) Reorder the terms: 60 + 12x = -3(30 + x) 60 + 12x = (30 * -3 + x * -3) 60 + 12x = (-90 + -3x) Solving 60 + 12x = -90 + -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. 60 + 12x + 3x = -90 + -3x + 3x Combine like terms: 12x + 3x = 15x 60 + 15x = -90 + -3x + 3x Combine like terms: -3x + 3x = 0 60 + 15x = -90 + 0 60 + 15x = -90 Add '-60' to each side of the equation. 60 + -60 + 15x = -90 + -60 Combine like terms: 60 + -60 = 0 0 + 15x = -90 + -60 15x = -90 + -60 Combine like terms: -90 + -60 = -150 15x = -150 Divide each side by '15'. x = -10 Simplifying x = -10
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