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Simplifying 2x + 71 = 4x + 51 Reorder the terms: 71 + 2x = 4x + 51 Reorder the terms: 71 + 2x = 51 + 4x Solving 71 + 2x = 51 + 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. 71 + 2x + -4x = 51 + 4x + -4x Combine like terms: 2x + -4x = -2x 71 + -2x = 51 + 4x + -4x Combine like terms: 4x + -4x = 0 71 + -2x = 51 + 0 71 + -2x = 51 Add '-71' to each side of the equation. 71 + -71 + -2x = 51 + -71 Combine like terms: 71 + -71 = 0 0 + -2x = 51 + -71 -2x = 51 + -71 Combine like terms: 51 + -71 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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