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Simplifying 71 + -6x = 3x + 19 Reorder the terms: 71 + -6x = 19 + 3x Solving 71 + -6x = 19 + 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. 71 + -6x + -3x = 19 + 3x + -3x Combine like terms: -6x + -3x = -9x 71 + -9x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 71 + -9x = 19 + 0 71 + -9x = 19 Add '-71' to each side of the equation. 71 + -71 + -9x = 19 + -71 Combine like terms: 71 + -71 = 0 0 + -9x = 19 + -71 -9x = 19 + -71 Combine like terms: 19 + -71 = -52 -9x = -52 Divide each side by '-9'. x = 5.777777778 Simplifying x = 5.777777778
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