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Simplifying 1 + 4x = 3x + 8 Reorder the terms: 1 + 4x = 8 + 3x Solving 1 + 4x = 8 + 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 = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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