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Simplifying 3x + 1 = -4x + 8 Reorder the terms: 1 + 3x = -4x + 8 Reorder the terms: 1 + 3x = 8 + -4x Solving 1 + 3x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x 1 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7x = 8 + 0 1 + 7x = 8 Add '-1' to each side of the equation. 1 + -1 + 7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 8 + -1 7x = 8 + -1 Combine like terms: 8 + -1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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