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Simplifying 2x + 34 = 4(2x + -5) Reorder the terms: 34 + 2x = 4(2x + -5) Reorder the terms: 34 + 2x = 4(-5 + 2x) 34 + 2x = (-5 * 4 + 2x * 4) 34 + 2x = (-20 + 8x) Solving 34 + 2x = -20 + 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 + 2x + -8x = -20 + 8x + -8x Combine like terms: 2x + -8x = -6x 34 + -6x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -6x = -20 + 0 34 + -6x = -20 Add '-34' to each side of the equation. 34 + -34 + -6x = -20 + -34 Combine like terms: 34 + -34 = 0 0 + -6x = -20 + -34 -6x = -20 + -34 Combine like terms: -20 + -34 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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