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Simplifying 17 = 2(x + -1) + -1(x + -6) Reorder the terms: 17 = 2(-1 + x) + -1(x + -6) 17 = (-1 * 2 + x * 2) + -1(x + -6) 17 = (-2 + 2x) + -1(x + -6) Reorder the terms: 17 = -2 + 2x + -1(-6 + x) 17 = -2 + 2x + (-6 * -1 + x * -1) 17 = -2 + 2x + (6 + -1x) Reorder the terms: 17 = -2 + 6 + 2x + -1x Combine like terms: -2 + 6 = 4 17 = 4 + 2x + -1x Combine like terms: 2x + -1x = 1x 17 = 4 + 1x Solving 17 = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + -1x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 17 + -1x = 4 + 0 17 + -1x = 4 Add '-17' to each side of the equation. 17 + -17 + -1x = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 4 + -17 -1x = 4 + -17 Combine like terms: 4 + -17 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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