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