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Simplifying 4x + 19 = 2x + 71 Reorder the terms: 19 + 4x = 2x + 71 Reorder the terms: 19 + 4x = 71 + 2x Solving 19 + 4x = 71 + 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. 19 + 4x + -2x = 71 + 2x + -2x Combine like terms: 4x + -2x = 2x 19 + 2x = 71 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 2x = 71 + 0 19 + 2x = 71 Add '-19' to each side of the equation. 19 + -19 + 2x = 71 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 71 + -19 2x = 71 + -19 Combine like terms: 71 + -19 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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