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Simplifying x + -2x + -6 = 8x + 12 + -1x + 4 Reorder the terms: -6 + x + -2x = 8x + 12 + -1x + 4 Combine like terms: x + -2x = -1x -6 + -1x = 8x + 12 + -1x + 4 Reorder the terms: -6 + -1x = 12 + 4 + 8x + -1x Combine like terms: 12 + 4 = 16 -6 + -1x = 16 + 8x + -1x Combine like terms: 8x + -1x = 7x -6 + -1x = 16 + 7x Solving -6 + -1x = 16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -1x + -7x = 16 + 7x + -7x Combine like terms: -1x + -7x = -8x -6 + -8x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -8x = 16 + 0 -6 + -8x = 16 Add '6' to each side of the equation. -6 + 6 + -8x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 16 + 6 -8x = 16 + 6 Combine like terms: 16 + 6 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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