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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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