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Simplifying 5(2x + 6) = 3(3x + 2) Reorder the terms: 5(6 + 2x) = 3(3x + 2) (6 * 5 + 2x * 5) = 3(3x + 2) (30 + 10x) = 3(3x + 2) Reorder the terms: 30 + 10x = 3(2 + 3x) 30 + 10x = (2 * 3 + 3x * 3) 30 + 10x = (6 + 9x) Solving 30 + 10x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 10x + -9x = 6 + 9x + -9x Combine like terms: 10x + -9x = 1x 30 + 1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + 1x = 6 + 0 30 + 1x = 6 Add '-30' to each side of the equation. 30 + -30 + 1x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 6 + -30 1x = 6 + -30 Combine like terms: 6 + -30 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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