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Simplifying 3x + -5 = 7x + -17 Reorder the terms: -5 + 3x = 7x + -17 Reorder the terms: -5 + 3x = -17 + 7x Solving -5 + 3x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 3x + -7x = -17 + 7x + -7x Combine like terms: 3x + -7x = -4x -5 + -4x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -4x = -17 + 0 -5 + -4x = -17 Add '5' to each side of the equation. -5 + 5 + -4x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -17 + 5 -4x = -17 + 5 Combine like terms: -17 + 5 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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