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Simplifying -2x + 34 = 3(2x + -2) Reorder the terms: 34 + -2x = 3(2x + -2) Reorder the terms: 34 + -2x = 3(-2 + 2x) 34 + -2x = (-2 * 3 + 2x * 3) 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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