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Simplifying 7(x + 6) + -7 = 5(x + 4) Reorder the terms: 7(6 + x) + -7 = 5(x + 4) (6 * 7 + x * 7) + -7 = 5(x + 4) (42 + 7x) + -7 = 5(x + 4) Reorder the terms: 42 + -7 + 7x = 5(x + 4) Combine like terms: 42 + -7 = 35 35 + 7x = 5(x + 4) Reorder the terms: 35 + 7x = 5(4 + x) 35 + 7x = (4 * 5 + x * 5) 35 + 7x = (20 + 5x) Solving 35 + 7x = 20 + 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 = 20 + 5x + -5x Combine like terms: 7x + -5x = 2x 35 + 2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 2x = 20 + 0 35 + 2x = 20 Add '-35' to each side of the equation. 35 + -35 + 2x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 20 + -35 2x = 20 + -35 Combine like terms: 20 + -35 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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