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Simplifying 7x + 45 = 6(x + 10) Reorder the terms: 45 + 7x = 6(x + 10) Reorder the terms: 45 + 7x = 6(10 + x) 45 + 7x = (10 * 6 + x * 6) 45 + 7x = (60 + 6x) Solving 45 + 7x = 60 + 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. 45 + 7x + -6x = 60 + 6x + -6x Combine like terms: 7x + -6x = 1x 45 + 1x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 1x = 60 + 0 45 + 1x = 60 Add '-45' to each side of the equation. 45 + -45 + 1x = 60 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 60 + -45 1x = 60 + -45 Combine like terms: 60 + -45 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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