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Simplifying (8x + -9x + 6x) + -1(4x + 2x + 7) = 0 Combine like terms: 8x + -9x = -1x (-1x + 6x) + -1(4x + 2x + 7) = 0 Combine like terms: -1x + 6x = 5x (5x) + -1(4x + 2x + 7) = 0 (5x) + -1(4x + 2x + 7) = 0 Reorder the terms: (5x) + -1(7 + 4x + 2x) = 0 Combine like terms: 4x + 2x = 6x (5x) + -1(7 + 6x) = 0 (5x) + (7 * -1 + 6x * -1) = 0 (5x) + (-7 + -6x) = 0 Reorder the terms: -7 + (5x) + -6x = 0 Combine like terms: (5x) + -6x = -1x -7 + -1x = 0 Solving -7 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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