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Simplifying 2(3x + -11) = 4(x + 5) Reorder the terms: 2(-11 + 3x) = 4(x + 5) (-11 * 2 + 3x * 2) = 4(x + 5) (-22 + 6x) = 4(x + 5) Reorder the terms: -22 + 6x = 4(5 + x) -22 + 6x = (5 * 4 + x * 4) -22 + 6x = (20 + 4x) Solving -22 + 6x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x -22 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 2x = 20 + 0 -22 + 2x = 20 Add '22' to each side of the equation. -22 + 22 + 2x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 20 + 22 2x = 20 + 22 Combine like terms: 20 + 22 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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