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Simplifying 2(3x + -5) = 4x + 22 Reorder the terms: 2(-5 + 3x) = 4x + 22 (-5 * 2 + 3x * 2) = 4x + 22 (-10 + 6x) = 4x + 22 Reorder the terms: -10 + 6x = 22 + 4x Solving -10 + 6x = 22 + 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. -10 + 6x + -4x = 22 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = 22 + 0 -10 + 2x = 22 Add '10' to each side of the equation. -10 + 10 + 2x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 22 + 10 2x = 22 + 10 Combine like terms: 22 + 10 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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