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Simplifying 4(x + -5) + 7x = 3 + -2(X + -4) Reorder the terms: 4(-5 + x) + 7x = 3 + -2(X + -4) (-5 * 4 + x * 4) + 7x = 3 + -2(X + -4) (-20 + 4x) + 7x = 3 + -2(X + -4) Combine like terms: 4x + 7x = 11x -20 + 11x = 3 + -2(X + -4) Reorder the terms: -20 + 11x = 3 + -2(-4 + X) -20 + 11x = 3 + (-4 * -2 + X * -2) -20 + 11x = 3 + (8 + -2X) Combine like terms: 3 + 8 = 11 -20 + 11x = 11 + -2X Solving -20 + 11x = 11 + -2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 11x = 11 + 20 + -2X Combine like terms: -20 + 20 = 0 0 + 11x = 11 + 20 + -2X 11x = 11 + 20 + -2X Combine like terms: 11 + 20 = 31 11x = 31 + -2X Divide each side by '11'. x = 2.818181818 + -0.1818181818X Simplifying x = 2.818181818 + -0.1818181818X
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