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Simplifying (x) + -1(5x + 5) = 4x + 17 x + -1(5x + 5) = 4x + 17 Reorder the terms: x + -1(5 + 5x) = 4x + 17 x + (5 * -1 + 5x * -1) = 4x + 17 x + (-5 + -5x) = 4x + 17 Reorder the terms: -5 + x + -5x = 4x + 17 Combine like terms: x + -5x = -4x -5 + -4x = 4x + 17 Reorder the terms: -5 + -4x = 17 + 4x Solving -5 + -4x = 17 + 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 + -4x + -4x = 17 + 4x + -4x Combine like terms: -4x + -4x = -8x -5 + -8x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -8x = 17 + 0 -5 + -8x = 17 Add '5' to each side of the equation. -5 + 5 + -8x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 17 + 5 -8x = 17 + 5 Combine like terms: 17 + 5 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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