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Simplifying x + 5 = -6x + 75 Reorder the terms: 5 + x = -6x + 75 Reorder the terms: 5 + x = 75 + -6x Solving 5 + x = 75 + -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. 5 + x + 6x = 75 + -6x + 6x Combine like terms: x + 6x = 7x 5 + 7x = 75 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 7x = 75 + 0 5 + 7x = 75 Add '-5' to each side of the equation. 5 + -5 + 7x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 75 + -5 7x = 75 + -5 Combine like terms: 75 + -5 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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