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Simplifying -2x + -34 = 6(1 + x) Reorder the terms: -34 + -2x = 6(1 + x) -34 + -2x = (1 * 6 + x * 6) -34 + -2x = (6 + 6x) Solving -34 + -2x = 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 + -2x + -6x = 6 + 6x + -6x Combine like terms: -2x + -6x = -8x -34 + -8x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + -8x = 6 + 0 -34 + -8x = 6 Add '34' to each side of the equation. -34 + 34 + -8x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -8x = 6 + 34 -8x = 6 + 34 Combine like terms: 6 + 34 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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