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Simplifying 5(x + 7) = 6(x + 5) Reorder the terms: 5(7 + x) = 6(x + 5) (7 * 5 + x * 5) = 6(x + 5) (35 + 5x) = 6(x + 5) Reorder the terms: 35 + 5x = 6(5 + x) 35 + 5x = (5 * 6 + x * 6) 35 + 5x = (30 + 6x) Solving 35 + 5x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 5x + -6x = 30 + 6x + -6x Combine like terms: 5x + -6x = -1x 35 + -1x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -1x = 30 + 0 35 + -1x = 30 Add '-35' to each side of the equation. 35 + -35 + -1x = 30 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 30 + -35 -1x = 30 + -35 Combine like terms: 30 + -35 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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