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Simplifying 4x + -5 + -6 = 12x + -1x + -3x + -7 Reorder the terms: -5 + -6 + 4x = 12x + -1x + -3x + -7 Combine like terms: -5 + -6 = -11 -11 + 4x = 12x + -1x + -3x + -7 Reorder the terms: -11 + 4x = -7 + 12x + -1x + -3x Combine like terms: 12x + -1x = 11x -11 + 4x = -7 + 11x + -3x Combine like terms: 11x + -3x = 8x -11 + 4x = -7 + 8x Solving -11 + 4x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + 4x + -8x = -7 + 8x + -8x Combine like terms: 4x + -8x = -4x -11 + -4x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -4x = -7 + 0 -11 + -4x = -7 Add '11' to each side of the equation. -11 + 11 + -4x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -7 + 11 -4x = -7 + 11 Combine like terms: -7 + 11 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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