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Simplifying 2(2x + 4) = 3(3x + 7) Reorder the terms: 2(4 + 2x) = 3(3x + 7) (4 * 2 + 2x * 2) = 3(3x + 7) (8 + 4x) = 3(3x + 7) Reorder the terms: 8 + 4x = 3(7 + 3x) 8 + 4x = (7 * 3 + 3x * 3) 8 + 4x = (21 + 9x) Solving 8 + 4x = 21 + 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. 8 + 4x + -9x = 21 + 9x + -9x Combine like terms: 4x + -9x = -5x 8 + -5x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -5x = 21 + 0 8 + -5x = 21 Add '-8' to each side of the equation. 8 + -8 + -5x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 21 + -8 -5x = 21 + -8 Combine like terms: 21 + -8 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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