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Simplifying -4(x + 5) = 2 + (x + 2) Reorder the terms: -4(5 + x) = 2 + (x + 2) (5 * -4 + x * -4) = 2 + (x + 2) (-20 + -4x) = 2 + (x + 2) Reorder the terms: -20 + -4x = 2 + (2 + x) Remove parenthesis around (2 + x) -20 + -4x = 2 + 2 + x Combine like terms: 2 + 2 = 4 -20 + -4x = 4 + x Solving -20 + -4x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + -4x + -1x = 4 + x + -1x Combine like terms: -4x + -1x = -5x -20 + -5x = 4 + x + -1x Combine like terms: x + -1x = 0 -20 + -5x = 4 + 0 -20 + -5x = 4 Add '20' to each side of the equation. -20 + 20 + -5x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = 4 + 20 -5x = 4 + 20 Combine like terms: 4 + 20 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8
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