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Simplifying -4x + 40 = 82 + -10x Reorder the terms: 40 + -4x = 82 + -10x Solving 40 + -4x = 82 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 40 + -4x + 10x = 82 + -10x + 10x Combine like terms: -4x + 10x = 6x 40 + 6x = 82 + -10x + 10x Combine like terms: -10x + 10x = 0 40 + 6x = 82 + 0 40 + 6x = 82 Add '-40' to each side of the equation. 40 + -40 + 6x = 82 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = 82 + -40 6x = 82 + -40 Combine like terms: 82 + -40 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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