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Simplifying 2(3x + 6) + 6(8x + -7) = 0 Reorder the terms: 2(6 + 3x) + 6(8x + -7) = 0 (6 * 2 + 3x * 2) + 6(8x + -7) = 0 (12 + 6x) + 6(8x + -7) = 0 Reorder the terms: 12 + 6x + 6(-7 + 8x) = 0 12 + 6x + (-7 * 6 + 8x * 6) = 0 12 + 6x + (-42 + 48x) = 0 Reorder the terms: 12 + -42 + 6x + 48x = 0 Combine like terms: 12 + -42 = -30 -30 + 6x + 48x = 0 Combine like terms: 6x + 48x = 54x -30 + 54x = 0 Solving -30 + 54x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 54x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 54x = 0 + 30 54x = 0 + 30 Combine like terms: 0 + 30 = 30 54x = 30 Divide each side by '54'. x = 0.5555555556 Simplifying x = 0.5555555556
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