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Simplifying 8 + 6(x + -9) = 8 + -6(x + -3) Reorder the terms: 8 + 6(-9 + x) = 8 + -6(x + -3) 8 + (-9 * 6 + x * 6) = 8 + -6(x + -3) 8 + (-54 + 6x) = 8 + -6(x + -3) Combine like terms: 8 + -54 = -46 -46 + 6x = 8 + -6(x + -3) Reorder the terms: -46 + 6x = 8 + -6(-3 + x) -46 + 6x = 8 + (-3 * -6 + x * -6) -46 + 6x = 8 + (18 + -6x) Combine like terms: 8 + 18 = 26 -46 + 6x = 26 + -6x Solving -46 + 6x = 26 + -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. -46 + 6x + 6x = 26 + -6x + 6x Combine like terms: 6x + 6x = 12x -46 + 12x = 26 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 12x = 26 + 0 -46 + 12x = 26 Add '46' to each side of the equation. -46 + 46 + 12x = 26 + 46 Combine like terms: -46 + 46 = 0 0 + 12x = 26 + 46 12x = 26 + 46 Combine like terms: 26 + 46 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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