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Simplifying -17 = 3x + 7(x + -11) Reorder the terms: -17 = 3x + 7(-11 + x) -17 = 3x + (-11 * 7 + x * 7) -17 = 3x + (-77 + 7x) Reorder the terms: -17 = -77 + 3x + 7x Combine like terms: 3x + 7x = 10x -17 = -77 + 10x Solving -17 = -77 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + -10x = -77 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -10x = -77 + 0 -17 + -10x = -77 Add '17' to each side of the equation. -17 + 17 + -10x = -77 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = -77 + 17 -10x = -77 + 17 Combine like terms: -77 + 17 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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