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Simplifying 7x + -5 + 4x + -3 = 12x + 6 + -8 + 2x Reorder the terms: -5 + -3 + 7x + 4x = 12x + 6 + -8 + 2x Combine like terms: -5 + -3 = -8 -8 + 7x + 4x = 12x + 6 + -8 + 2x Combine like terms: 7x + 4x = 11x -8 + 11x = 12x + 6 + -8 + 2x Reorder the terms: -8 + 11x = 6 + -8 + 12x + 2x Combine like terms: 6 + -8 = -2 -8 + 11x = -2 + 12x + 2x Combine like terms: 12x + 2x = 14x -8 + 11x = -2 + 14x Solving -8 + 11x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + 11x + -14x = -2 + 14x + -14x Combine like terms: 11x + -14x = -3x -8 + -3x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -3x = -2 + 0 -8 + -3x = -2 Add '8' to each side of the equation. -8 + 8 + -3x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -2 + 8 -3x = -2 + 8 Combine like terms: -2 + 8 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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