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Simplifying 2(3x + 4) = 3(3x + 14) Reorder the terms: 2(4 + 3x) = 3(3x + 14) (4 * 2 + 3x * 2) = 3(3x + 14) (8 + 6x) = 3(3x + 14) Reorder the terms: 8 + 6x = 3(14 + 3x) 8 + 6x = (14 * 3 + 3x * 3) 8 + 6x = (42 + 9x) Solving 8 + 6x = 42 + 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 + 6x + -9x = 42 + 9x + -9x Combine like terms: 6x + -9x = -3x 8 + -3x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -3x = 42 + 0 8 + -3x = 42 Add '-8' to each side of the equation. 8 + -8 + -3x = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 42 + -8 -3x = 42 + -8 Combine like terms: 42 + -8 = 34 -3x = 34 Divide each side by '-3'. x = -11.33333333 Simplifying x = -11.33333333
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