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Simplifying 7(x + 2) + -5(x + -6) = 12(x + 5) Reorder the terms: 7(2 + x) + -5(x + -6) = 12(x + 5) (2 * 7 + x * 7) + -5(x + -6) = 12(x + 5) (14 + 7x) + -5(x + -6) = 12(x + 5) Reorder the terms: 14 + 7x + -5(-6 + x) = 12(x + 5) 14 + 7x + (-6 * -5 + x * -5) = 12(x + 5) 14 + 7x + (30 + -5x) = 12(x + 5) Reorder the terms: 14 + 30 + 7x + -5x = 12(x + 5) Combine like terms: 14 + 30 = 44 44 + 7x + -5x = 12(x + 5) Combine like terms: 7x + -5x = 2x 44 + 2x = 12(x + 5) Reorder the terms: 44 + 2x = 12(5 + x) 44 + 2x = (5 * 12 + x * 12) 44 + 2x = (60 + 12x) Solving 44 + 2x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 44 + 2x + -12x = 60 + 12x + -12x Combine like terms: 2x + -12x = -10x 44 + -10x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 44 + -10x = 60 + 0 44 + -10x = 60 Add '-44' to each side of the equation. 44 + -44 + -10x = 60 + -44 Combine like terms: 44 + -44 = 0 0 + -10x = 60 + -44 -10x = 60 + -44 Combine like terms: 60 + -44 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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