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Simplifying 4x + 6 + -7x = 4 + 8x + -9 Reorder the terms: 6 + 4x + -7x = 4 + 8x + -9 Combine like terms: 4x + -7x = -3x 6 + -3x = 4 + 8x + -9 Reorder the terms: 6 + -3x = 4 + -9 + 8x Combine like terms: 4 + -9 = -5 6 + -3x = -5 + 8x Solving 6 + -3x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -3x + -8x = -5 + 8x + -8x Combine like terms: -3x + -8x = -11x 6 + -11x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -11x = -5 + 0 6 + -11x = -5 Add '-6' to each side of the equation. 6 + -6 + -11x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -5 + -6 -11x = -5 + -6 Combine like terms: -5 + -6 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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