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Simplifying 71 + -6x = 7x + 19 Reorder the terms: 71 + -6x = 19 + 7x Solving 71 + -6x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 71 + -6x + -7x = 19 + 7x + -7x Combine like terms: -6x + -7x = -13x 71 + -13x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 71 + -13x = 19 + 0 71 + -13x = 19 Add '-71' to each side of the equation. 71 + -71 + -13x = 19 + -71 Combine like terms: 71 + -71 = 0 0 + -13x = 19 + -71 -13x = 19 + -71 Combine like terms: 19 + -71 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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