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Simplifying 5(2 + -1(2x + -4)) = 6(x + 5) Reorder the terms: 5(2 + -1(-4 + 2x)) = 6(x + 5) 5(2 + (-4 * -1 + 2x * -1)) = 6(x + 5) 5(2 + (4 + -2x)) = 6(x + 5) Combine like terms: 2 + 4 = 6 5(6 + -2x) = 6(x + 5) (6 * 5 + -2x * 5) = 6(x + 5) (30 + -10x) = 6(x + 5) Reorder the terms: 30 + -10x = 6(5 + x) 30 + -10x = (5 * 6 + x * 6) 30 + -10x = (30 + 6x) Add '-30' to each side of the equation. 30 + -30 + -10x = 30 + -30 + 6x Combine like terms: 30 + -30 = 0 0 + -10x = 30 + -30 + 6x -10x = 30 + -30 + 6x Combine like terms: 30 + -30 = 0 -10x = 0 + 6x -10x = 6x Solving -10x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10x + -6x = 6x + -6x Combine like terms: -10x + -6x = -16x -16x = 6x + -6x Combine like terms: 6x + -6x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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