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Simplifying -1x + -4x + -2 = -2x + -17 Reorder the terms: -2 + -1x + -4x = -2x + -17 Combine like terms: -1x + -4x = -5x -2 + -5x = -2x + -17 Reorder the terms: -2 + -5x = -17 + -2x Solving -2 + -5x = -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. -2 + -5x + 2x = -17 + -2x + 2x Combine like terms: -5x + 2x = -3x -2 + -3x = -17 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -3x = -17 + 0 -2 + -3x = -17 Add '2' to each side of the equation. -2 + 2 + -3x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -17 + 2 -3x = -17 + 2 Combine like terms: -17 + 2 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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