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Simplifying 5x + -6 + 4x = 2x + 71 + -4x Reorder the terms: -6 + 5x + 4x = 2x + 71 + -4x Combine like terms: 5x + 4x = 9x -6 + 9x = 2x + 71 + -4x Reorder the terms: -6 + 9x = 71 + 2x + -4x Combine like terms: 2x + -4x = -2x -6 + 9x = 71 + -2x Solving -6 + 9x = 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. -6 + 9x + 2x = 71 + -2x + 2x Combine like terms: 9x + 2x = 11x -6 + 11x = 71 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 11x = 71 + 0 -6 + 11x = 71 Add '6' to each side of the equation. -6 + 6 + 11x = 71 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 71 + 6 11x = 71 + 6 Combine like terms: 71 + 6 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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