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Simplifying 6 + -2x + -7x = 1 + -4x Combine like terms: -2x + -7x = -9x 6 + -9x = 1 + -4x Solving 6 + -9x = 1 + -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. 6 + -9x + 4x = 1 + -4x + 4x Combine like terms: -9x + 4x = -5x 6 + -5x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -5x = 1 + 0 6 + -5x = 1 Add '-6' to each side of the equation. 6 + -6 + -5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 1 + -6 -5x = 1 + -6 Combine like terms: 1 + -6 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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