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Simplifying 9x + 6(30) = 7(x + 30) Multiply 6 * 30 9x + 180 = 7(x + 30) Reorder the terms: 180 + 9x = 7(x + 30) Reorder the terms: 180 + 9x = 7(30 + x) 180 + 9x = (30 * 7 + x * 7) 180 + 9x = (210 + 7x) Solving 180 + 9x = 210 + 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. 180 + 9x + -7x = 210 + 7x + -7x Combine like terms: 9x + -7x = 2x 180 + 2x = 210 + 7x + -7x Combine like terms: 7x + -7x = 0 180 + 2x = 210 + 0 180 + 2x = 210 Add '-180' to each side of the equation. 180 + -180 + 2x = 210 + -180 Combine like terms: 180 + -180 = 0 0 + 2x = 210 + -180 2x = 210 + -180 Combine like terms: 210 + -180 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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