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Simplifying -4x + 2 = -7x + 17 Reorder the terms: 2 + -4x = -7x + 17 Reorder the terms: 2 + -4x = 17 + -7x Solving 2 + -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. 2 + -4x + 7x = 17 + -7x + 7x Combine like terms: -4x + 7x = 3x 2 + 3x = 17 + -7x + 7x Combine like terms: -7x + 7x = 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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