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Simplifying 4x + -1(5x + 5) = 2x + -17 Reorder the terms: 4x + -1(5 + 5x) = 2x + -17 4x + (5 * -1 + 5x * -1) = 2x + -17 4x + (-5 + -5x) = 2x + -17 Reorder the terms: -5 + 4x + -5x = 2x + -17 Combine like terms: 4x + -5x = -1x -5 + -1x = 2x + -17 Reorder the terms: -5 + -1x = -17 + 2x Solving -5 + -1x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -1x + -2x = -17 + 2x + -2x Combine like terms: -1x + -2x = -3x -5 + -3x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -3x = -17 + 0 -5 + -3x = -17 Add '5' to each side of the equation. -5 + 5 + -3x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -17 + 5 -3x = -17 + 5 Combine like terms: -17 + 5 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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