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Simplifying 5x + 3(4x + -11) = 52 Reorder the terms: 5x + 3(-11 + 4x) = 52 5x + (-11 * 3 + 4x * 3) = 52 5x + (-33 + 12x) = 52 Reorder the terms: -33 + 5x + 12x = 52 Combine like terms: 5x + 12x = 17x -33 + 17x = 52 Solving -33 + 17x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 17x = 52 + 33 Combine like terms: -33 + 33 = 0 0 + 17x = 52 + 33 17x = 52 + 33 Combine like terms: 52 + 33 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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