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Simplifying 4x + 6 + -7x = 9x + -8x + 14 Reorder the terms: 6 + 4x + -7x = 9x + -8x + 14 Combine like terms: 4x + -7x = -3x 6 + -3x = 9x + -8x + 14 Reorder the terms: 6 + -3x = 14 + 9x + -8x Combine like terms: 9x + -8x = 1x 6 + -3x = 14 + 1x Solving 6 + -3x = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -3x + -1x = 14 + 1x + -1x Combine like terms: -3x + -1x = -4x 6 + -4x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -4x = 14 + 0 6 + -4x = 14 Add '-6' to each side of the equation. 6 + -6 + -4x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 14 + -6 -4x = 14 + -6 Combine like terms: 14 + -6 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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