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Simplifying -5(x + 1) = 4(x + 4) Reorder the terms: -5(1 + x) = 4(x + 4) (1 * -5 + x * -5) = 4(x + 4) (-5 + -5x) = 4(x + 4) Reorder the terms: -5 + -5x = 4(4 + x) -5 + -5x = (4 * 4 + x * 4) -5 + -5x = (16 + 4x) Solving -5 + -5x = 16 + 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. -5 + -5x + -4x = 16 + 4x + -4x Combine like terms: -5x + -4x = -9x -5 + -9x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -9x = 16 + 0 -5 + -9x = 16 Add '5' to each side of the equation. -5 + 5 + -9x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 16 + 5 -9x = 16 + 5 Combine like terms: 16 + 5 = 21 -9x = 21 Divide each side by '-9'. x = -2.333333333 Simplifying x = -2.333333333
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