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