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Simplifying 4(x + -5) = x(2 + 3) + 2 Reorder the terms: 4(-5 + x) = x(2 + 3) + 2 (-5 * 4 + x * 4) = x(2 + 3) + 2 (-20 + 4x) = x(2 + 3) + 2 Combine like terms: 2 + 3 = 5 -20 + 4x = x(5) + 2 Reorder the terms for easier multiplication: -20 + 4x = 5x + 2 Reorder the terms: -20 + 4x = 2 + 5x Solving -20 + 4x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 4x + -5x = 2 + 5x + -5x Combine like terms: 4x + -5x = -1x -20 + -1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -1x = 2 + 0 -20 + -1x = 2 Add '20' to each side of the equation. -20 + 20 + -1x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 2 + 20 -1x = 2 + 20 Combine like terms: 2 + 20 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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