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Simplifying 3 + 5(x + -7) = 9 + -3(X + -4) Reorder the terms: 3 + 5(-7 + x) = 9 + -3(X + -4) 3 + (-7 * 5 + x * 5) = 9 + -3(X + -4) 3 + (-35 + 5x) = 9 + -3(X + -4) Combine like terms: 3 + -35 = -32 -32 + 5x = 9 + -3(X + -4) Reorder the terms: -32 + 5x = 9 + -3(-4 + X) -32 + 5x = 9 + (-4 * -3 + X * -3) -32 + 5x = 9 + (12 + -3X) Combine like terms: 9 + 12 = 21 -32 + 5x = 21 + -3X Solving -32 + 5x = 21 + -3X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 5x = 21 + 32 + -3X Combine like terms: -32 + 32 = 0 0 + 5x = 21 + 32 + -3X 5x = 21 + 32 + -3X Combine like terms: 21 + 32 = 53 5x = 53 + -3X Divide each side by '5'. x = 10.6 + -0.6X Simplifying x = 10.6 + -0.6X
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