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Simplifying 3x + -5 + 7 + 7x + -9 = 12x + 8 + -23x + 6 Reorder the terms: -5 + 7 + -9 + 3x + 7x = 12x + 8 + -23x + 6 Combine like terms: -5 + 7 = 2 2 + -9 + 3x + 7x = 12x + 8 + -23x + 6 Combine like terms: 2 + -9 = -7 -7 + 3x + 7x = 12x + 8 + -23x + 6 Combine like terms: 3x + 7x = 10x -7 + 10x = 12x + 8 + -23x + 6 Reorder the terms: -7 + 10x = 8 + 6 + 12x + -23x Combine like terms: 8 + 6 = 14 -7 + 10x = 14 + 12x + -23x Combine like terms: 12x + -23x = -11x -7 + 10x = 14 + -11x Solving -7 + 10x = 14 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -7 + 10x + 11x = 14 + -11x + 11x Combine like terms: 10x + 11x = 21x -7 + 21x = 14 + -11x + 11x Combine like terms: -11x + 11x = 0 -7 + 21x = 14 + 0 -7 + 21x = 14 Add '7' to each side of the equation. -7 + 7 + 21x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 21x = 14 + 7 21x = 14 + 7 Combine like terms: 14 + 7 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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