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Simplifying 5(2x + -4) = -2(3x + 10) Reorder the terms: 5(-4 + 2x) = -2(3x + 10) (-4 * 5 + 2x * 5) = -2(3x + 10) (-20 + 10x) = -2(3x + 10) Reorder the terms: -20 + 10x = -2(10 + 3x) -20 + 10x = (10 * -2 + 3x * -2) -20 + 10x = (-20 + -6x) Add '20' to each side of the equation. -20 + 20 + 10x = -20 + 20 + -6x Combine like terms: -20 + 20 = 0 0 + 10x = -20 + 20 + -6x 10x = -20 + 20 + -6x Combine like terms: -20 + 20 = 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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