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