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Simplifying 9x + 1 = 3(2x + 7) + -2 Reorder the terms: 1 + 9x = 3(2x + 7) + -2 Reorder the terms: 1 + 9x = 3(7 + 2x) + -2 1 + 9x = (7 * 3 + 2x * 3) + -2 1 + 9x = (21 + 6x) + -2 Reorder the terms: 1 + 9x = 21 + -2 + 6x Combine like terms: 21 + -2 = 19 1 + 9x = 19 + 6x Solving 1 + 9x = 19 + 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 = 19 + 6x + -6x Combine like terms: 9x + -6x = 3x 1 + 3x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 3x = 19 + 0 1 + 3x = 19 Add '-1' to each side of the equation. 1 + -1 + 3x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 19 + -1 3x = 19 + -1 Combine like terms: 19 + -1 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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