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Simplifying 5(x + -2) + -1(2x + 4) = 0 Reorder the terms: 5(-2 + x) + -1(2x + 4) = 0 (-2 * 5 + x * 5) + -1(2x + 4) = 0 (-10 + 5x) + -1(2x + 4) = 0 Reorder the terms: -10 + 5x + -1(4 + 2x) = 0 -10 + 5x + (4 * -1 + 2x * -1) = 0 -10 + 5x + (-4 + -2x) = 0 Reorder the terms: -10 + -4 + 5x + -2x = 0 Combine like terms: -10 + -4 = -14 -14 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -14 + 3x = 0 Solving -14 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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