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Simplifying 3x + 1 = x + -1 + x + -1 + x + -1 + x + 3 Reorder the terms: 1 + 3x = x + -1 + x + -1 + x + -1 + x + 3 Reorder the terms: 1 + 3x = -1 + -1 + -1 + 3 + x + x + x + x Combine like terms: -1 + -1 = -2 1 + 3x = -2 + -1 + 3 + x + x + x + x Combine like terms: -2 + -1 = -3 1 + 3x = -3 + 3 + x + x + x + x Combine like terms: -3 + 3 = 0 1 + 3x = 0 + x + x + x + x 1 + 3x = x + x + x + x Combine like terms: x + x = 2x 1 + 3x = 2x + x + x Combine like terms: 2x + x = 3x 1 + 3x = 3x + x Combine like terms: 3x + x = 4x 1 + 3x = 4x Solving 1 + 3x = 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 = 4x + -4x Combine like terms: 3x + -4x = -1x 1 + -1x = 4x + -4x Combine like terms: 4x + -4x = 0 1 + -1x = 0 Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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