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Simplifying -1x + 5 + 7x + -12 = 3 + -2x + -8 + 6x + -4 Reorder the terms: 5 + -12 + -1x + 7x = 3 + -2x + -8 + 6x + -4 Combine like terms: 5 + -12 = -7 -7 + -1x + 7x = 3 + -2x + -8 + 6x + -4 Combine like terms: -1x + 7x = 6x -7 + 6x = 3 + -2x + -8 + 6x + -4 Reorder the terms: -7 + 6x = 3 + -8 + -4 + -2x + 6x Combine like terms: 3 + -8 = -5 -7 + 6x = -5 + -4 + -2x + 6x Combine like terms: -5 + -4 = -9 -7 + 6x = -9 + -2x + 6x Combine like terms: -2x + 6x = 4x -7 + 6x = -9 + 4x Solving -7 + 6x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 6x + -4x = -9 + 4x + -4x Combine like terms: 6x + -4x = 2x -7 + 2x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 2x = -9 + 0 -7 + 2x = -9 Add '7' to each side of the equation. -7 + 7 + 2x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -9 + 7 2x = -9 + 7 Combine like terms: -9 + 7 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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