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Simplifying 6x2 + 30 = 3x(2x + 5) Reorder the terms: 30 + 6x2 = 3x(2x + 5) Reorder the terms: 30 + 6x2 = 3x(5 + 2x) 30 + 6x2 = (5 * 3x + 2x * 3x) 30 + 6x2 = (15x + 6x2) Add '-6x2' to each side of the equation. 30 + 6x2 + -6x2 = 15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 30 + 0 = 15x + 6x2 + -6x2 30 = 15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 30 = 15x + 0 30 = 15x Solving 30 = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + -15x = 15x + -15x Combine like terms: 15x + -15x = 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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