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Simplifying 2(5x + -2) + -1(7x + 4) = 0 Reorder the terms: 2(-2 + 5x) + -1(7x + 4) = 0 (-2 * 2 + 5x * 2) + -1(7x + 4) = 0 (-4 + 10x) + -1(7x + 4) = 0 Reorder the terms: -4 + 10x + -1(4 + 7x) = 0 -4 + 10x + (4 * -1 + 7x * -1) = 0 -4 + 10x + (-4 + -7x) = 0 Reorder the terms: -4 + -4 + 10x + -7x = 0 Combine like terms: -4 + -4 = -8 -8 + 10x + -7x = 0 Combine like terms: 10x + -7x = 3x -8 + 3x = 0 Solving -8 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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