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Simplifying 6(x + -6) + 4 = 89x + 2 + -8 Reorder the terms: 6(-6 + x) + 4 = 89x + 2 + -8 (-6 * 6 + x * 6) + 4 = 89x + 2 + -8 (-36 + 6x) + 4 = 89x + 2 + -8 Reorder the terms: -36 + 4 + 6x = 89x + 2 + -8 Combine like terms: -36 + 4 = -32 -32 + 6x = 89x + 2 + -8 Reorder the terms: -32 + 6x = 2 + -8 + 89x Combine like terms: 2 + -8 = -6 -32 + 6x = -6 + 89x Solving -32 + 6x = -6 + 89x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89x' to each side of the equation. -32 + 6x + -89x = -6 + 89x + -89x Combine like terms: 6x + -89x = -83x -32 + -83x = -6 + 89x + -89x Combine like terms: 89x + -89x = 0 -32 + -83x = -6 + 0 -32 + -83x = -6 Add '32' to each side of the equation. -32 + 32 + -83x = -6 + 32 Combine like terms: -32 + 32 = 0 0 + -83x = -6 + 32 -83x = -6 + 32 Combine like terms: -6 + 32 = 26 -83x = 26 Divide each side by '-83'. x = -0.313253012 Simplifying x = -0.313253012
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