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Simplifying 9x + 1 = 2(3x + -7) Reorder the terms: 1 + 9x = 2(3x + -7) Reorder the terms: 1 + 9x = 2(-7 + 3x) 1 + 9x = (-7 * 2 + 3x * 2) 1 + 9x = (-14 + 6x) Solving 1 + 9x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 9x + -6x = -14 + 6x + -6x Combine like terms: 9x + -6x = 3x 1 + 3x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 3x = -14 + 0 1 + 3x = -14 Add '-1' to each side of the equation. 1 + -1 + 3x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -14 + -1 3x = -14 + -1 Combine like terms: -14 + -1 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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