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Simplifying 4x + -5 = 7x + -17 Reorder the terms: -5 + 4x = 7x + -17 Reorder the terms: -5 + 4x = -17 + 7x Solving -5 + 4x = -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 + 4x + -7x = -17 + 7x + -7x Combine like terms: 4x + -7x = -3x -5 + -3x = -17 + 7x + -7x Combine like terms: 7x + -7x = 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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