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Simplifying -8x + 34 = 5(-6 + -3x) + 8 Reorder the terms: 34 + -8x = 5(-6 + -3x) + 8 34 + -8x = (-6 * 5 + -3x * 5) + 8 34 + -8x = (-30 + -15x) + 8 Reorder the terms: 34 + -8x = -30 + 8 + -15x Combine like terms: -30 + 8 = -22 34 + -8x = -22 + -15x Solving 34 + -8x = -22 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 34 + -8x + 15x = -22 + -15x + 15x Combine like terms: -8x + 15x = 7x 34 + 7x = -22 + -15x + 15x Combine like terms: -15x + 15x = 0 34 + 7x = -22 + 0 34 + 7x = -22 Add '-34' to each side of the equation. 34 + -34 + 7x = -22 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = -22 + -34 7x = -22 + -34 Combine like terms: -22 + -34 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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