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Simplifying 14 + 9x = 3(5x + 1) + -1 Reorder the terms: 14 + 9x = 3(1 + 5x) + -1 14 + 9x = (1 * 3 + 5x * 3) + -1 14 + 9x = (3 + 15x) + -1 Reorder the terms: 14 + 9x = 3 + -1 + 15x Combine like terms: 3 + -1 = 2 14 + 9x = 2 + 15x Solving 14 + 9x = 2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14 + 9x + -15x = 2 + 15x + -15x Combine like terms: 9x + -15x = -6x 14 + -6x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -6x = 2 + 0 14 + -6x = 2 Add '-14' to each side of the equation. 14 + -14 + -6x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 2 + -14 -6x = 2 + -14 Combine like terms: 2 + -14 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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