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Simplifying -4x + -17(x + 4) = -4(5x + 5) Reorder the terms: -4x + -17(4 + x) = -4(5x + 5) -4x + (4 * -17 + x * -17) = -4(5x + 5) -4x + (-68 + -17x) = -4(5x + 5) Reorder the terms: -68 + -4x + -17x = -4(5x + 5) Combine like terms: -4x + -17x = -21x -68 + -21x = -4(5x + 5) Reorder the terms: -68 + -21x = -4(5 + 5x) -68 + -21x = (5 * -4 + 5x * -4) -68 + -21x = (-20 + -20x) Solving -68 + -21x = -20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -68 + -21x + 20x = -20 + -20x + 20x Combine like terms: -21x + 20x = -1x -68 + -1x = -20 + -20x + 20x Combine like terms: -20x + 20x = 0 -68 + -1x = -20 + 0 -68 + -1x = -20 Add '68' to each side of the equation. -68 + 68 + -1x = -20 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = -20 + 68 -1x = -20 + 68 Combine like terms: -20 + 68 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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