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Simplifying 34 = -2x + 4(x + 5) Reorder the terms: 34 = -2x + 4(5 + x) 34 = -2x + (5 * 4 + x * 4) 34 = -2x + (20 + 4x) Reorder the terms: 34 = 20 + -2x + 4x Combine like terms: -2x + 4x = 2x 34 = 20 + 2x Solving 34 = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 34 + -2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -2x = 20 + 0 34 + -2x = 20 Add '-34' to each side of the equation. 34 + -34 + -2x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 20 + -34 -2x = 20 + -34 Combine like terms: 20 + -34 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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