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Simplifying 7(x + -6) = 5(x + 8) Reorder the terms: 7(-6 + x) = 5(x + 8) (-6 * 7 + x * 7) = 5(x + 8) (-42 + 7x) = 5(x + 8) Reorder the terms: -42 + 7x = 5(8 + x) -42 + 7x = (8 * 5 + x * 5) -42 + 7x = (40 + 5x) Solving -42 + 7x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 7x + -5x = 40 + 5x + -5x Combine like terms: 7x + -5x = 2x -42 + 2x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 2x = 40 + 0 -42 + 2x = 40 Add '42' to each side of the equation. -42 + 42 + 2x = 40 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 40 + 42 2x = 40 + 42 Combine like terms: 40 + 42 = 82 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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