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Simplifying 4(5x + -2) = 10x + 22 Reorder the terms: 4(-2 + 5x) = 10x + 22 (-2 * 4 + 5x * 4) = 10x + 22 (-8 + 20x) = 10x + 22 Reorder the terms: -8 + 20x = 22 + 10x Solving -8 + 20x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 20x + -10x = 22 + 10x + -10x Combine like terms: 20x + -10x = 10x -8 + 10x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 10x = 22 + 0 -8 + 10x = 22 Add '8' to each side of the equation. -8 + 8 + 10x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 22 + 8 10x = 22 + 8 Combine like terms: 22 + 8 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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