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Simplifying 3x + -5 = 4x + -17 Reorder the terms: -5 + 3x = 4x + -17 Reorder the terms: -5 + 3x = -17 + 4x Solving -5 + 3x = -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 + 3x + -4x = -17 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = -17 + 0 -5 + -1x = -17 Add '5' to each side of the equation. -5 + 5 + -1x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -17 + 5 -1x = -17 + 5 Combine like terms: -17 + 5 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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