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Simplifying 7 + -1(6x + 5) = 17 + -9x Reorder the terms: 7 + -1(5 + 6x) = 17 + -9x 7 + (5 * -1 + 6x * -1) = 17 + -9x 7 + (-5 + -6x) = 17 + -9x Combine like terms: 7 + -5 = 2 2 + -6x = 17 + -9x Solving 2 + -6x = 17 + -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. 2 + -6x + 9x = 17 + -9x + 9x Combine like terms: -6x + 9x = 3x 2 + 3x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 3x = 17 + 0 2 + 3x = 17 Add '-2' to each side of the equation. 2 + -2 + 3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 17 + -2 3x = 17 + -2 Combine like terms: 17 + -2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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