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Simplifying 34 + -1x = 2x + -5(6 + 7x) 34 + -1x = 2x + (6 * -5 + 7x * -5) 34 + -1x = 2x + (-30 + -35x) Reorder the terms: 34 + -1x = -30 + 2x + -35x Combine like terms: 2x + -35x = -33x 34 + -1x = -30 + -33x Solving 34 + -1x = -30 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 34 + -1x + 33x = -30 + -33x + 33x Combine like terms: -1x + 33x = 32x 34 + 32x = -30 + -33x + 33x Combine like terms: -33x + 33x = 0 34 + 32x = -30 + 0 34 + 32x = -30 Add '-34' to each side of the equation. 34 + -34 + 32x = -30 + -34 Combine like terms: 34 + -34 = 0 0 + 32x = -30 + -34 32x = -30 + -34 Combine like terms: -30 + -34 = -64 32x = -64 Divide each side by '32'. x = -2 Simplifying x = -2
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