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Simplifying 17 + -1(x + 5) = 5x + -6 Reorder the terms: 17 + -1(5 + x) = 5x + -6 17 + (5 * -1 + x * -1) = 5x + -6 17 + (-5 + -1x) = 5x + -6 Combine like terms: 17 + -5 = 12 12 + -1x = 5x + -6 Reorder the terms: 12 + -1x = -6 + 5x Solving 12 + -1x = -6 + 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. 12 + -1x + -5x = -6 + 5x + -5x Combine like terms: -1x + -5x = -6x 12 + -6x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -6x = -6 + 0 12 + -6x = -6 Add '-12' to each side of the equation. 12 + -12 + -6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -6 + -12 -6x = -6 + -12 Combine like terms: -6 + -12 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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