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Simplifying 52 + 4x = 2(x + -11) Reorder the terms: 52 + 4x = 2(-11 + x) 52 + 4x = (-11 * 2 + x * 2) 52 + 4x = (-22 + 2x) Solving 52 + 4x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 52 + 4x + -2x = -22 + 2x + -2x Combine like terms: 4x + -2x = 2x 52 + 2x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 52 + 2x = -22 + 0 52 + 2x = -22 Add '-52' to each side of the equation. 52 + -52 + 2x = -22 + -52 Combine like terms: 52 + -52 = 0 0 + 2x = -22 + -52 2x = -22 + -52 Combine like terms: -22 + -52 = -74 2x = -74 Divide each side by '2'. x = -37 Simplifying x = -37
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