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Simplifying -2x + -34 = -6(x + 9) Reorder the terms: -34 + -2x = -6(x + 9) Reorder the terms: -34 + -2x = -6(9 + x) -34 + -2x = (9 * -6 + x * -6) -34 + -2x = (-54 + -6x) Solving -34 + -2x = -54 + -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 = -54 + -6x + 6x Combine like terms: -2x + 6x = 4x -34 + 4x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + 4x = -54 + 0 -34 + 4x = -54 Add '34' to each side of the equation. -34 + 34 + 4x = -54 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -54 + 34 4x = -54 + 34 Combine like terms: -54 + 34 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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