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