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Simplifying 2x + 34 = 4(x + 50) Reorder the terms: 34 + 2x = 4(x + 50) Reorder the terms: 34 + 2x = 4(50 + x) 34 + 2x = (50 * 4 + x * 4) 34 + 2x = (200 + 4x) Solving 34 + 2x = 200 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + 2x + -4x = 200 + 4x + -4x Combine like terms: 2x + -4x = -2x 34 + -2x = 200 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + -2x = 200 + 0 34 + -2x = 200 Add '-34' to each side of the equation. 34 + -34 + -2x = 200 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 200 + -34 -2x = 200 + -34 Combine like terms: 200 + -34 = 166 -2x = 166 Divide each side by '-2'. x = -83 Simplifying x = -83
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