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Simplifying 5(2x + 7) = 3(3x + 11) Reorder the terms: 5(7 + 2x) = 3(3x + 11) (7 * 5 + 2x * 5) = 3(3x + 11) (35 + 10x) = 3(3x + 11) Reorder the terms: 35 + 10x = 3(11 + 3x) 35 + 10x = (11 * 3 + 3x * 3) 35 + 10x = (33 + 9x) Solving 35 + 10x = 33 + 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 = 33 + 9x + -9x Combine like terms: 10x + -9x = 1x 35 + 1x = 33 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + 1x = 33 + 0 35 + 1x = 33 Add '-35' to each side of the equation. 35 + -35 + 1x = 33 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 33 + -35 1x = 33 + -35 Combine like terms: 33 + -35 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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