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Simplifying 5(x + 7) = 2(x + 7) Reorder the terms: 5(7 + x) = 2(x + 7) (7 * 5 + x * 5) = 2(x + 7) (35 + 5x) = 2(x + 7) Reorder the terms: 35 + 5x = 2(7 + x) 35 + 5x = (7 * 2 + x * 2) 35 + 5x = (14 + 2x) Solving 35 + 5x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x 35 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 3x = 14 + 0 35 + 3x = 14 Add '-35' to each side of the equation. 35 + -35 + 3x = 14 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 14 + -35 3x = 14 + -35 Combine like terms: 14 + -35 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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