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Simplifying 3(2x + 9) + -4 = 5x + 14 Reorder the terms: 3(9 + 2x) + -4 = 5x + 14 (9 * 3 + 2x * 3) + -4 = 5x + 14 (27 + 6x) + -4 = 5x + 14 Reorder the terms: 27 + -4 + 6x = 5x + 14 Combine like terms: 27 + -4 = 23 23 + 6x = 5x + 14 Reorder the terms: 23 + 6x = 14 + 5x Solving 23 + 6x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 23 + 6x + -5x = 14 + 5x + -5x Combine like terms: 6x + -5x = 1x 23 + 1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 1x = 14 + 0 23 + 1x = 14 Add '-23' to each side of the equation. 23 + -23 + 1x = 14 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 14 + -23 1x = 14 + -23 Combine like terms: 14 + -23 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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