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Simplifying 9x + 30 = 7(x + 6) Reorder the terms: 30 + 9x = 7(x + 6) Reorder the terms: 30 + 9x = 7(6 + x) 30 + 9x = (6 * 7 + x * 7) 30 + 9x = (42 + 7x) Solving 30 + 9x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 9x + -7x = 42 + 7x + -7x Combine like terms: 9x + -7x = 2x 30 + 2x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 2x = 42 + 0 30 + 2x = 42 Add '-30' to each side of the equation. 30 + -30 + 2x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 42 + -30 2x = 42 + -30 Combine like terms: 42 + -30 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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