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Simplifying 9(x + 7) + -1 = 6x + (89) Reorder the terms: 9(7 + x) + -1 = 6x + (89) (7 * 9 + x * 9) + -1 = 6x + (89) (63 + 9x) + -1 = 6x + (89) Reorder the terms: 63 + -1 + 9x = 6x + (89) Combine like terms: 63 + -1 = 62 62 + 9x = 6x + (89) 62 + 9x = 6x + 89 Reorder the terms: 62 + 9x = 89 + 6x Solving 62 + 9x = 89 + 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. 62 + 9x + -6x = 89 + 6x + -6x Combine like terms: 9x + -6x = 3x 62 + 3x = 89 + 6x + -6x Combine like terms: 6x + -6x = 0 62 + 3x = 89 + 0 62 + 3x = 89 Add '-62' to each side of the equation. 62 + -62 + 3x = 89 + -62 Combine like terms: 62 + -62 = 0 0 + 3x = 89 + -62 3x = 89 + -62 Combine like terms: 89 + -62 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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