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Simplifying x + 40 = 5 + -6x Reorder the terms: 40 + x = 5 + -6x Solving 40 + x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 40 + x + 6x = 5 + -6x + 6x Combine like terms: x + 6x = 7x 40 + 7x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 40 + 7x = 5 + 0 40 + 7x = 5 Add '-40' to each side of the equation. 40 + -40 + 7x = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 5 + -40 7x = 5 + -40 Combine like terms: 5 + -40 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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