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