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Simplifying 7(x + -6) + 7 = 5(x + -5) Reorder the terms: 7(-6 + x) + 7 = 5(x + -5) (-6 * 7 + x * 7) + 7 = 5(x + -5) (-42 + 7x) + 7 = 5(x + -5) Reorder the terms: -42 + 7 + 7x = 5(x + -5) Combine like terms: -42 + 7 = -35 -35 + 7x = 5(x + -5) Reorder the terms: -35 + 7x = 5(-5 + x) -35 + 7x = (-5 * 5 + x * 5) -35 + 7x = (-25 + 5x) Solving -35 + 7x = -25 + 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. -35 + 7x + -5x = -25 + 5x + -5x Combine like terms: 7x + -5x = 2x -35 + 2x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 2x = -25 + 0 -35 + 2x = -25 Add '35' to each side of the equation. -35 + 35 + 2x = -25 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -25 + 35 2x = -25 + 35 Combine like terms: -25 + 35 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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