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Simplifying 3(x + 4) + 9 = 9x + 14 Reorder the terms: 3(4 + x) + 9 = 9x + 14 (4 * 3 + x * 3) + 9 = 9x + 14 (12 + 3x) + 9 = 9x + 14 Reorder the terms: 12 + 9 + 3x = 9x + 14 Combine like terms: 12 + 9 = 21 21 + 3x = 9x + 14 Reorder the terms: 21 + 3x = 14 + 9x Solving 21 + 3x = 14 + 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. 21 + 3x + -9x = 14 + 9x + -9x Combine like terms: 3x + -9x = -6x 21 + -6x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -6x = 14 + 0 21 + -6x = 14 Add '-21' to each side of the equation. 21 + -21 + -6x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = 14 + -21 -6x = 14 + -21 Combine like terms: 14 + -21 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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