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Simplifying -2x + 34 = -6(x + -5) Reorder the terms: 34 + -2x = -6(x + -5) Reorder the terms: 34 + -2x = -6(-5 + x) 34 + -2x = (-5 * -6 + x * -6) 34 + -2x = (30 + -6x) Solving 34 + -2x = 30 + -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 + -2x + 6x = 30 + -6x + 6x Combine like terms: -2x + 6x = 4x 34 + 4x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 34 + 4x = 30 + 0 34 + 4x = 30 Add '-34' to each side of the equation. 34 + -34 + 4x = 30 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = 30 + -34 4x = 30 + -34 Combine like terms: 30 + -34 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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