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Simplifying -41 = 6x + 7(x + -17) Reorder the terms: -41 = 6x + 7(-17 + x) -41 = 6x + (-17 * 7 + x * 7) -41 = 6x + (-119 + 7x) Reorder the terms: -41 = -119 + 6x + 7x Combine like terms: 6x + 7x = 13x -41 = -119 + 13x Solving -41 = -119 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -41 + -13x = -119 + 13x + -13x Combine like terms: 13x + -13x = 0 -41 + -13x = -119 + 0 -41 + -13x = -119 Add '41' to each side of the equation. -41 + 41 + -13x = -119 + 41 Combine like terms: -41 + 41 = 0 0 + -13x = -119 + 41 -13x = -119 + 41 Combine like terms: -119 + 41 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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