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Simplifying -4x + -4 + -1(5x + 5) = -21 + -1(5x + -4) Reorder the terms: -4x + -4 + -1(5 + 5x) = -21 + -1(5x + -4) -4x + -4 + (5 * -1 + 5x * -1) = -21 + -1(5x + -4) -4x + -4 + (-5 + -5x) = -21 + -1(5x + -4) Reorder the terms: -4 + -5 + -4x + -5x = -21 + -1(5x + -4) Combine like terms: -4 + -5 = -9 -9 + -4x + -5x = -21 + -1(5x + -4) Combine like terms: -4x + -5x = -9x -9 + -9x = -21 + -1(5x + -4) Reorder the terms: -9 + -9x = -21 + -1(-4 + 5x) -9 + -9x = -21 + (-4 * -1 + 5x * -1) -9 + -9x = -21 + (4 + -5x) Combine like terms: -21 + 4 = -17 -9 + -9x = -17 + -5x Solving -9 + -9x = -17 + -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. -9 + -9x + 5x = -17 + -5x + 5x Combine like terms: -9x + 5x = -4x -9 + -4x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + -4x = -17 + 0 -9 + -4x = -17 Add '9' to each side of the equation. -9 + 9 + -4x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -17 + 9 -4x = -17 + 9 Combine like terms: -17 + 9 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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