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Simplifying -34 = -7x + -4(-6x + -17) Reorder the terms: -34 = -7x + -4(-17 + -6x) -34 = -7x + (-17 * -4 + -6x * -4) -34 = -7x + (68 + 24x) Reorder the terms: -34 = 68 + -7x + 24x Combine like terms: -7x + 24x = 17x -34 = 68 + 17x Solving -34 = 68 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -34 + -17x = 68 + 17x + -17x Combine like terms: 17x + -17x = 0 -34 + -17x = 68 + 0 -34 + -17x = 68 Add '34' to each side of the equation. -34 + 34 + -17x = 68 + 34 Combine like terms: -34 + 34 = 0 0 + -17x = 68 + 34 -17x = 68 + 34 Combine like terms: 68 + 34 = 102 -17x = 102 Divide each side by '-17'. x = -6 Simplifying x = -6
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