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Simplifying 2x + -3x + -12 = x + 6x + -4 Reorder the terms: -12 + 2x + -3x = x + 6x + -4 Combine like terms: 2x + -3x = -1x -12 + -1x = x + 6x + -4 Reorder the terms: -12 + -1x = -4 + x + 6x Combine like terms: x + 6x = 7x -12 + -1x = -4 + 7x Solving -12 + -1x = -4 + 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. -12 + -1x + -7x = -4 + 7x + -7x Combine like terms: -1x + -7x = -8x -12 + -8x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -8x = -4 + 0 -12 + -8x = -4 Add '12' to each side of the equation. -12 + 12 + -8x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -4 + 12 -8x = -4 + 12 Combine like terms: -4 + 12 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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