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Simplifying 6(2x + -3) = 2 + 7x Reorder the terms: 6(-3 + 2x) = 2 + 7x (-3 * 6 + 2x * 6) = 2 + 7x (-18 + 12x) = 2 + 7x Solving -18 + 12x = 2 + 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. -18 + 12x + -7x = 2 + 7x + -7x Combine like terms: 12x + -7x = 5x -18 + 5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 5x = 2 + 0 -18 + 5x = 2 Add '18' to each side of the equation. -18 + 18 + 5x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 2 + 18 5x = 2 + 18 Combine like terms: 2 + 18 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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