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Simplifying 8(7x + -9) + 2(-6x + 12) = 0 Reorder the terms: 8(-9 + 7x) + 2(-6x + 12) = 0 (-9 * 8 + 7x * 8) + 2(-6x + 12) = 0 (-72 + 56x) + 2(-6x + 12) = 0 Reorder the terms: -72 + 56x + 2(12 + -6x) = 0 -72 + 56x + (12 * 2 + -6x * 2) = 0 -72 + 56x + (24 + -12x) = 0 Reorder the terms: -72 + 24 + 56x + -12x = 0 Combine like terms: -72 + 24 = -48 -48 + 56x + -12x = 0 Combine like terms: 56x + -12x = 44x -48 + 44x = 0 Solving -48 + 44x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 44x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 44x = 0 + 48 44x = 0 + 48 Combine like terms: 0 + 48 = 48 44x = 48 Divide each side by '44'. x = 1.090909091 Simplifying x = 1.090909091
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