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Simplifying 4x + 1 = -3x + 71 Reorder the terms: 1 + 4x = -3x + 71 Reorder the terms: 1 + 4x = 71 + -3x Solving 1 + 4x = 71 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 4x + 3x = 71 + -3x + 3x Combine like terms: 4x + 3x = 7x 1 + 7x = 71 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 7x = 71 + 0 1 + 7x = 71 Add '-1' to each side of the equation. 1 + -1 + 7x = 71 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 71 + -1 7x = 71 + -1 Combine like terms: 71 + -1 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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