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Simplifying 5(x + 7) = 7(x + 2) Reorder the terms: 5(7 + x) = 7(x + 2) (7 * 5 + x * 5) = 7(x + 2) (35 + 5x) = 7(x + 2) Reorder the terms: 35 + 5x = 7(2 + x) 35 + 5x = (2 * 7 + x * 7) 35 + 5x = (14 + 7x) Solving 35 + 5x = 14 + 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. 35 + 5x + -7x = 14 + 7x + -7x Combine like terms: 5x + -7x = -2x 35 + -2x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -2x = 14 + 0 35 + -2x = 14 Add '-35' to each side of the equation. 35 + -35 + -2x = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 14 + -35 -2x = 14 + -35 Combine like terms: 14 + -35 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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