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Simplifying -4x + 8 + -7x = -9 + -12x + 16 Reorder the terms: 8 + -4x + -7x = -9 + -12x + 16 Combine like terms: -4x + -7x = -11x 8 + -11x = -9 + -12x + 16 Reorder the terms: 8 + -11x = -9 + 16 + -12x Combine like terms: -9 + 16 = 7 8 + -11x = 7 + -12x Solving 8 + -11x = 7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -11x + 12x = 7 + -12x + 12x Combine like terms: -11x + 12x = 1x 8 + 1x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 1x = 7 + 0 8 + 1x = 7 Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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