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Simplifying 3(3x + 7) = 4(5 + 2x) Reorder the terms: 3(7 + 3x) = 4(5 + 2x) (7 * 3 + 3x * 3) = 4(5 + 2x) (21 + 9x) = 4(5 + 2x) 21 + 9x = (5 * 4 + 2x * 4) 21 + 9x = (20 + 8x) Solving 21 + 9x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 9x + -8x = 20 + 8x + -8x Combine like terms: 9x + -8x = 1x 21 + 1x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 1x = 20 + 0 21 + 1x = 20 Add '-21' to each side of the equation. 21 + -21 + 1x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 20 + -21 1x = 20 + -21 Combine like terms: 20 + -21 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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