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