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Simplifying 12(x + 6) + 5(x + -4) = 7(x + 5) Reorder the terms: 12(6 + x) + 5(x + -4) = 7(x + 5) (6 * 12 + x * 12) + 5(x + -4) = 7(x + 5) (72 + 12x) + 5(x + -4) = 7(x + 5) Reorder the terms: 72 + 12x + 5(-4 + x) = 7(x + 5) 72 + 12x + (-4 * 5 + x * 5) = 7(x + 5) 72 + 12x + (-20 + 5x) = 7(x + 5) Reorder the terms: 72 + -20 + 12x + 5x = 7(x + 5) Combine like terms: 72 + -20 = 52 52 + 12x + 5x = 7(x + 5) Combine like terms: 12x + 5x = 17x 52 + 17x = 7(x + 5) Reorder the terms: 52 + 17x = 7(5 + x) 52 + 17x = (5 * 7 + x * 7) 52 + 17x = (35 + 7x) Solving 52 + 17x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + 17x + -7x = 35 + 7x + -7x Combine like terms: 17x + -7x = 10x 52 + 10x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + 10x = 35 + 0 52 + 10x = 35 Add '-52' to each side of the equation. 52 + -52 + 10x = 35 + -52 Combine like terms: 52 + -52 = 0 0 + 10x = 35 + -52 10x = 35 + -52 Combine like terms: 35 + -52 = -17 10x = -17 Divide each side by '10'. x = -1.7 Simplifying x = -1.7
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