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Simplifying 7(x + 1) = 3(x + 5) Reorder the terms: 7(1 + x) = 3(x + 5) (1 * 7 + x * 7) = 3(x + 5) (7 + 7x) = 3(x + 5) Reorder the terms: 7 + 7x = 3(5 + x) 7 + 7x = (5 * 3 + x * 3) 7 + 7x = (15 + 3x) Solving 7 + 7x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 7x + -3x = 15 + 3x + -3x Combine like terms: 7x + -3x = 4x 7 + 4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 4x = 15 + 0 7 + 4x = 15 Add '-7' to each side of the equation. 7 + -7 + 4x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 15 + -7 4x = 15 + -7 Combine like terms: 15 + -7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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