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Simplifying -34 = 5x + 2(-6x + 4) Reorder the terms: -34 = 5x + 2(4 + -6x) -34 = 5x + (4 * 2 + -6x * 2) -34 = 5x + (8 + -12x) Reorder the terms: -34 = 8 + 5x + -12x Combine like terms: 5x + -12x = -7x -34 = 8 + -7x Solving -34 = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -34 + 7x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -34 + 7x = 8 + 0 -34 + 7x = 8 Add '34' to each side of the equation. -34 + 34 + 7x = 8 + 34 Combine like terms: -34 + 34 = 0 0 + 7x = 8 + 34 7x = 8 + 34 Combine like terms: 8 + 34 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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