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Simplifying 7(7x + 5) = 6(8x + 3) Reorder the terms: 7(5 + 7x) = 6(8x + 3) (5 * 7 + 7x * 7) = 6(8x + 3) (35 + 49x) = 6(8x + 3) Reorder the terms: 35 + 49x = 6(3 + 8x) 35 + 49x = (3 * 6 + 8x * 6) 35 + 49x = (18 + 48x) Solving 35 + 49x = 18 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 35 + 49x + -48x = 18 + 48x + -48x Combine like terms: 49x + -48x = 1x 35 + 1x = 18 + 48x + -48x Combine like terms: 48x + -48x = 0 35 + 1x = 18 + 0 35 + 1x = 18 Add '-35' to each side of the equation. 35 + -35 + 1x = 18 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 18 + -35 1x = 18 + -35 Combine like terms: 18 + -35 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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