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Simplifying 5x + 1 = -9x + 71 Reorder the terms: 1 + 5x = -9x + 71 Reorder the terms: 1 + 5x = 71 + -9x Solving 1 + 5x = 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. 1 + 5x + 9x = 71 + -9x + 9x Combine like terms: 5x + 9x = 14x 1 + 14x = 71 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 14x = 71 + 0 1 + 14x = 71 Add '-1' to each side of the equation. 1 + -1 + 14x = 71 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 71 + -1 14x = 71 + -1 Combine like terms: 71 + -1 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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