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Simplifying 2(9x + 7) + -6x = 9x + -10 Reorder the terms: 2(7 + 9x) + -6x = 9x + -10 (7 * 2 + 9x * 2) + -6x = 9x + -10 (14 + 18x) + -6x = 9x + -10 Combine like terms: 18x + -6x = 12x 14 + 12x = 9x + -10 Reorder the terms: 14 + 12x = -10 + 9x Solving 14 + 12x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + 12x + -9x = -10 + 9x + -9x Combine like terms: 12x + -9x = 3x 14 + 3x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + 3x = -10 + 0 14 + 3x = -10 Add '-14' to each side of the equation. 14 + -14 + 3x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -10 + -14 3x = -10 + -14 Combine like terms: -10 + -14 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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