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Simplifying -1x + 17 = -3(x + -6) + 1 Reorder the terms: 17 + -1x = -3(x + -6) + 1 Reorder the terms: 17 + -1x = -3(-6 + x) + 1 17 + -1x = (-6 * -3 + x * -3) + 1 17 + -1x = (18 + -3x) + 1 Reorder the terms: 17 + -1x = 18 + 1 + -3x Combine like terms: 18 + 1 = 19 17 + -1x = 19 + -3x Solving 17 + -1x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + -1x + 3x = 19 + -3x + 3x Combine like terms: -1x + 3x = 2x 17 + 2x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 2x = 19 + 0 17 + 2x = 19 Add '-17' to each side of the equation. 17 + -17 + 2x = 19 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 19 + -17 2x = 19 + -17 Combine like terms: 19 + -17 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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