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Simplifying 34 + -1x = -3(2x + 2) Reorder the terms: 34 + -1x = -3(2 + 2x) 34 + -1x = (2 * -3 + 2x * -3) 34 + -1x = (-6 + -6x) Solving 34 + -1x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 34 + -1x + 6x = -6 + -6x + 6x Combine like terms: -1x + 6x = 5x 34 + 5x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 34 + 5x = -6 + 0 34 + 5x = -6 Add '-34' to each side of the equation. 34 + -34 + 5x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 5x = -6 + -34 5x = -6 + -34 Combine like terms: -6 + -34 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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