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