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