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Simplifying 5(x + -2) = -2(3x + 5) Reorder the terms: 5(-2 + x) = -2(3x + 5) (-2 * 5 + x * 5) = -2(3x + 5) (-10 + 5x) = -2(3x + 5) Reorder the terms: -10 + 5x = -2(5 + 3x) -10 + 5x = (5 * -2 + 3x * -2) -10 + 5x = (-10 + -6x) Add '10' to each side of the equation. -10 + 10 + 5x = -10 + 10 + -6x Combine like terms: -10 + 10 = 0 0 + 5x = -10 + 10 + -6x 5x = -10 + 10 + -6x Combine like terms: -10 + 10 = 0 5x = 0 + -6x 5x = -6x Solving 5x = -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. 5x + 6x = -6x + 6x Combine like terms: 5x + 6x = 11x 11x = -6x + 6x Combine like terms: -6x + 6x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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