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Simplifying 4(x + -5) = 14 + -5(2 + -1x) Reorder the terms: 4(-5 + x) = 14 + -5(2 + -1x) (-5 * 4 + x * 4) = 14 + -5(2 + -1x) (-20 + 4x) = 14 + -5(2 + -1x) -20 + 4x = 14 + (2 * -5 + -1x * -5) -20 + 4x = 14 + (-10 + 5x) Combine like terms: 14 + -10 = 4 -20 + 4x = 4 + 5x Solving -20 + 4x = 4 + 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 = 4 + 5x + -5x Combine like terms: 4x + -5x = -1x -20 + -1x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -1x = 4 + 0 -20 + -1x = 4 Add '20' to each side of the equation. -20 + 20 + -1x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 4 + 20 -1x = 4 + 20 Combine like terms: 4 + 20 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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