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