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Simplifying 7(x + 5) = 6x + 45 Reorder the terms: 7(5 + x) = 6x + 45 (5 * 7 + x * 7) = 6x + 45 (35 + 7x) = 6x + 45 Reorder the terms: 35 + 7x = 45 + 6x Solving 35 + 7x = 45 + 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. 35 + 7x + -6x = 45 + 6x + -6x Combine like terms: 7x + -6x = 1x 35 + 1x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 1x = 45 + 0 35 + 1x = 45 Add '-35' to each side of the equation. 35 + -35 + 1x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 45 + -35 1x = 45 + -35 Combine like terms: 45 + -35 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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