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Simplifying 4(x + -9) + 7x = 52 Reorder the terms: 4(-9 + x) + 7x = 52 (-9 * 4 + x * 4) + 7x = 52 (-36 + 4x) + 7x = 52 Combine like terms: 4x + 7x = 11x -36 + 11x = 52 Solving -36 + 11x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11x = 52 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 52 + 36 11x = 52 + 36 Combine like terms: 52 + 36 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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