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Simplifying 3x + 4(2x + -9) = 52 Reorder the terms: 3x + 4(-9 + 2x) = 52 3x + (-9 * 4 + 2x * 4) = 52 3x + (-36 + 8x) = 52 Reorder the terms: -36 + 3x + 8x = 52 Combine like terms: 3x + 8x = 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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