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Simplifying 5x + -13 = -7x + 71 Reorder the terms: -13 + 5x = -7x + 71 Reorder the terms: -13 + 5x = 71 + -7x Solving -13 + 5x = 71 + -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. -13 + 5x + 7x = 71 + -7x + 7x Combine like terms: 5x + 7x = 12x -13 + 12x = 71 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 12x = 71 + 0 -13 + 12x = 71 Add '13' to each side of the equation. -13 + 13 + 12x = 71 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 71 + 13 12x = 71 + 13 Combine like terms: 71 + 13 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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