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Simplifying 30(x + 1) = 5x(9) Reorder the terms: 30(1 + x) = 5x(9) (1 * 30 + x * 30) = 5x(9) (30 + 30x) = 5x(9) Reorder the terms for easier multiplication: 30 + 30x = 5 * 9x Multiply 5 * 9 30 + 30x = 45x Solving 30 + 30x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 30 + 30x + -45x = 45x + -45x Combine like terms: 30x + -45x = -15x 30 + -15x = 45x + -45x Combine like terms: 45x + -45x = 0 30 + -15x = 0 Add '-30' to each side of the equation. 30 + -30 + -15x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 0 + -30 -15x = 0 + -30 Combine like terms: 0 + -30 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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