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Simplifying 3x + -2(4x + -11) = 52 Reorder the terms: 3x + -2(-11 + 4x) = 52 3x + (-11 * -2 + 4x * -2) = 52 3x + (22 + -8x) = 52 Reorder the terms: 22 + 3x + -8x = 52 Combine like terms: 3x + -8x = -5x 22 + -5x = 52 Solving 22 + -5x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 52 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 52 + -22 -5x = 52 + -22 Combine like terms: 52 + -22 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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