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Simplifying -34 = 2x + -3(2x + -2) Reorder the terms: -34 = 2x + -3(-2 + 2x) -34 = 2x + (-2 * -3 + 2x * -3) -34 = 2x + (6 + -6x) Reorder the terms: -34 = 6 + 2x + -6x Combine like terms: 2x + -6x = -4x -34 = 6 + -4x Solving -34 = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -34 + 4x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + 4x = 6 + 0 -34 + 4x = 6 Add '34' to each side of the equation. -34 + 34 + 4x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 6 + 34 4x = 6 + 34 Combine like terms: 6 + 34 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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