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Simplifying -2x + -5x + -4 = 2x + 12 + -1x Reorder the terms: -4 + -2x + -5x = 2x + 12 + -1x Combine like terms: -2x + -5x = -7x -4 + -7x = 2x + 12 + -1x Reorder the terms: -4 + -7x = 12 + 2x + -1x Combine like terms: 2x + -1x = 1x -4 + -7x = 12 + 1x Solving -4 + -7x = 12 + 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. -4 + -7x + -1x = 12 + 1x + -1x Combine like terms: -7x + -1x = -8x -4 + -8x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -8x = 12 + 0 -4 + -8x = 12 Add '4' to each side of the equation. -4 + 4 + -8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 12 + 4 -8x = 12 + 4 Combine like terms: 12 + 4 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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