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Simplifying 10x + 34 = 7x + -32 Reorder the terms: 34 + 10x = 7x + -32 Reorder the terms: 34 + 10x = -32 + 7x Solving 34 + 10x = -32 + 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. 34 + 10x + -7x = -32 + 7x + -7x Combine like terms: 10x + -7x = 3x 34 + 3x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 34 + 3x = -32 + 0 34 + 3x = -32 Add '-34' to each side of the equation. 34 + -34 + 3x = -32 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = -32 + -34 3x = -32 + -34 Combine like terms: -32 + -34 = -66 3x = -66 Divide each side by '3'. x = -22 Simplifying x = -22
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