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Simplifying 5(2x + 7) = 3(3x + 13) Reorder the terms: 5(7 + 2x) = 3(3x + 13) (7 * 5 + 2x * 5) = 3(3x + 13) (35 + 10x) = 3(3x + 13) Reorder the terms: 35 + 10x = 3(13 + 3x) 35 + 10x = (13 * 3 + 3x * 3) 35 + 10x = (39 + 9x) Solving 35 + 10x = 39 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 10x + -9x = 39 + 9x + -9x Combine like terms: 10x + -9x = 1x 35 + 1x = 39 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + 1x = 39 + 0 35 + 1x = 39 Add '-35' to each side of the equation. 35 + -35 + 1x = 39 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 39 + -35 1x = 39 + -35 Combine like terms: 39 + -35 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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