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Simplifying 4x + 71 = 13x + 1 + -14x Reorder the terms: 71 + 4x = 13x + 1 + -14x Reorder the terms: 71 + 4x = 1 + 13x + -14x Combine like terms: 13x + -14x = -1x 71 + 4x = 1 + -1x Solving 71 + 4x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 71 + 4x + x = 1 + -1x + x Combine like terms: 4x + x = 5x 71 + 5x = 1 + -1x + x Combine like terms: -1x + x = 0 71 + 5x = 1 + 0 71 + 5x = 1 Add '-71' to each side of the equation. 71 + -71 + 5x = 1 + -71 Combine like terms: 71 + -71 = 0 0 + 5x = 1 + -71 5x = 1 + -71 Combine like terms: 1 + -71 = -70 5x = -70 Divide each side by '5'. x = -14 Simplifying x = -14
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