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Simplifying 12(x + 5) + -5(x + -7) = 19 Reorder the terms: 12(5 + x) + -5(x + -7) = 19 (5 * 12 + x * 12) + -5(x + -7) = 19 (60 + 12x) + -5(x + -7) = 19 Reorder the terms: 60 + 12x + -5(-7 + x) = 19 60 + 12x + (-7 * -5 + x * -5) = 19 60 + 12x + (35 + -5x) = 19 Reorder the terms: 60 + 35 + 12x + -5x = 19 Combine like terms: 60 + 35 = 95 95 + 12x + -5x = 19 Combine like terms: 12x + -5x = 7x 95 + 7x = 19 Solving 95 + 7x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 7x = 19 + -95 Combine like terms: 95 + -95 = 0 0 + 7x = 19 + -95 7x = 19 + -95 Combine like terms: 19 + -95 = -76 7x = -76 Divide each side by '7'. x = -10.85714286 Simplifying x = -10.85714286
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