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Simplifying -5x + 17 = -6(3x + -5) Reorder the terms: 17 + -5x = -6(3x + -5) Reorder the terms: 17 + -5x = -6(-5 + 3x) 17 + -5x = (-5 * -6 + 3x * -6) 17 + -5x = (30 + -18x) Solving 17 + -5x = 30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 17 + -5x + 18x = 30 + -18x + 18x Combine like terms: -5x + 18x = 13x 17 + 13x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 17 + 13x = 30 + 0 17 + 13x = 30 Add '-17' to each side of the equation. 17 + -17 + 13x = 30 + -17 Combine like terms: 17 + -17 = 0 0 + 13x = 30 + -17 13x = 30 + -17 Combine like terms: 30 + -17 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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