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Simplifying 1 + -4x + 7 = 4 + -6x Reorder the terms: 1 + 7 + -4x = 4 + -6x Combine like terms: 1 + 7 = 8 8 + -4x = 4 + -6x Solving 8 + -4x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -4x + 6x = 4 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = 4 + 0 8 + 2x = 4 Add '-8' to each side of the equation. 8 + -8 + 2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 4 + -8 2x = 4 + -8 Combine like terms: 4 + -8 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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