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Simplifying -4x + 10 = -7x + -17 Reorder the terms: 10 + -4x = -7x + -17 Reorder the terms: 10 + -4x = -17 + -7x Solving 10 + -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. 10 + -4x + 7x = -17 + -7x + 7x Combine like terms: -4x + 7x = 3x 10 + 3x = -17 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 3x = -17 + 0 10 + 3x = -17 Add '-10' to each side of the equation. 10 + -10 + 3x = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -17 + -10 3x = -17 + -10 Combine like terms: -17 + -10 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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