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Simplifying 5(x + -2) + -2(4 + x) = 0 Reorder the terms: 5(-2 + x) + -2(4 + x) = 0 (-2 * 5 + x * 5) + -2(4 + x) = 0 (-10 + 5x) + -2(4 + x) = 0 -10 + 5x + (4 * -2 + x * -2) = 0 -10 + 5x + (-8 + -2x) = 0 Reorder the terms: -10 + -8 + 5x + -2x = 0 Combine like terms: -10 + -8 = -18 -18 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -18 + 3x = 0 Solving -18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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