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Simplifying 7x + 19 = 3x + 71 Reorder the terms: 19 + 7x = 3x + 71 Reorder the terms: 19 + 7x = 71 + 3x Solving 19 + 7x = 71 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + 7x + -3x = 71 + 3x + -3x Combine like terms: 7x + -3x = 4x 19 + 4x = 71 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 4x = 71 + 0 19 + 4x = 71 Add '-19' to each side of the equation. 19 + -19 + 4x = 71 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 71 + -19 4x = 71 + -19 Combine like terms: 71 + -19 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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