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Simplifying 8x + 32 + 9x + -30 + -24 + 12x = 12 + 6x Reorder the terms: 32 + -30 + -24 + 8x + 9x + 12x = 12 + 6x Combine like terms: 32 + -30 = 2 2 + -24 + 8x + 9x + 12x = 12 + 6x Combine like terms: 2 + -24 = -22 -22 + 8x + 9x + 12x = 12 + 6x Combine like terms: 8x + 9x = 17x -22 + 17x + 12x = 12 + 6x Combine like terms: 17x + 12x = 29x -22 + 29x = 12 + 6x Solving -22 + 29x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 29x + -6x = 12 + 6x + -6x Combine like terms: 29x + -6x = 23x -22 + 23x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 23x = 12 + 0 -22 + 23x = 12 Add '22' to each side of the equation. -22 + 22 + 23x = 12 + 22 Combine like terms: -22 + 22 = 0 0 + 23x = 12 + 22 23x = 12 + 22 Combine like terms: 12 + 22 = 34 23x = 34 Divide each side by '23'. x = 1.47826087 Simplifying x = 1.47826087
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