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Simplifying 34 = -7x + 2(6x + -3) Reorder the terms: 34 = -7x + 2(-3 + 6x) 34 = -7x + (-3 * 2 + 6x * 2) 34 = -7x + (-6 + 12x) Reorder the terms: 34 = -6 + -7x + 12x Combine like terms: -7x + 12x = 5x 34 = -6 + 5x Solving 34 = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 34 + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + -5x = -6 + 0 34 + -5x = -6 Add '-34' to each side of the equation. 34 + -34 + -5x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = -6 + -34 -5x = -6 + -34 Combine like terms: -6 + -34 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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