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Simplifying 4x + -7 = 71 + -9x Reorder the terms: -7 + 4x = 71 + -9x Solving -7 + 4x = 71 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + 4x + 9x = 71 + -9x + 9x Combine like terms: 4x + 9x = 13x -7 + 13x = 71 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 13x = 71 + 0 -7 + 13x = 71 Add '7' to each side of the equation. -7 + 7 + 13x = 71 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 71 + 7 13x = 71 + 7 Combine like terms: 71 + 7 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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