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Simplifying 2(5x + -6) + 6(x + -4) = 0 Reorder the terms: 2(-6 + 5x) + 6(x + -4) = 0 (-6 * 2 + 5x * 2) + 6(x + -4) = 0 (-12 + 10x) + 6(x + -4) = 0 Reorder the terms: -12 + 10x + 6(-4 + x) = 0 -12 + 10x + (-4 * 6 + x * 6) = 0 -12 + 10x + (-24 + 6x) = 0 Reorder the terms: -12 + -24 + 10x + 6x = 0 Combine like terms: -12 + -24 = -36 -36 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x -36 + 16x = 0 Solving -36 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 16x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = 0 + 36 16x = 0 + 36 Combine like terms: 0 + 36 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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