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Simplifying 17 + -1(x + 6) = 5x + -7 Reorder the terms: 17 + -1(6 + x) = 5x + -7 17 + (6 * -1 + x * -1) = 5x + -7 17 + (-6 + -1x) = 5x + -7 Combine like terms: 17 + -6 = 11 11 + -1x = 5x + -7 Reorder the terms: 11 + -1x = -7 + 5x Solving 11 + -1x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + -1x + -5x = -7 + 5x + -5x Combine like terms: -1x + -5x = -6x 11 + -6x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -6x = -7 + 0 11 + -6x = -7 Add '-11' to each side of the equation. 11 + -11 + -6x = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -7 + -11 -6x = -7 + -11 Combine like terms: -7 + -11 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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