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Simplifying 7(x + 6) = 5x + 30 Reorder the terms: 7(6 + x) = 5x + 30 (6 * 7 + x * 7) = 5x + 30 (42 + 7x) = 5x + 30 Reorder the terms: 42 + 7x = 30 + 5x Solving 42 + 7x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + 7x + -5x = 30 + 5x + -5x Combine like terms: 7x + -5x = 2x 42 + 2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 2x = 30 + 0 42 + 2x = 30 Add '-42' to each side of the equation. 42 + -42 + 2x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 30 + -42 2x = 30 + -42 Combine like terms: 30 + -42 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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