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Simplifying 7x + 10 = 75 + -6x Reorder the terms: 10 + 7x = 75 + -6x Solving 10 + 7x = 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. 10 + 7x + 6x = 75 + -6x + 6x Combine like terms: 7x + 6x = 13x 10 + 13x = 75 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 13x = 75 + 0 10 + 13x = 75 Add '-10' to each side of the equation. 10 + -10 + 13x = 75 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 75 + -10 13x = 75 + -10 Combine like terms: 75 + -10 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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