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Simplifying -2(5 + 2x) + -3(5 + -5x) = -47 (5 * -2 + 2x * -2) + -3(5 + -5x) = -47 (-10 + -4x) + -3(5 + -5x) = -47 -10 + -4x + (5 * -3 + -5x * -3) = -47 -10 + -4x + (-15 + 15x) = -47 Reorder the terms: -10 + -15 + -4x + 15x = -47 Combine like terms: -10 + -15 = -25 -25 + -4x + 15x = -47 Combine like terms: -4x + 15x = 11x -25 + 11x = -47 Solving -25 + 11x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 11x = -47 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = -47 + 25 11x = -47 + 25 Combine like terms: -47 + 25 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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