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Simplifying 6(2x + -3) = 3x + -2x Reorder the terms: 6(-3 + 2x) = 3x + -2x (-3 * 6 + 2x * 6) = 3x + -2x (-18 + 12x) = 3x + -2x Combine like terms: 3x + -2x = 1x -18 + 12x = 1x Solving -18 + 12x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 12x + -1x = 1x + -1x Combine like terms: 12x + -1x = 11x -18 + 11x = 1x + -1x Combine like terms: 1x + -1x = 0 -18 + 11x = 0 Add '18' to each side of the equation. -18 + 18 + 11x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 0 + 18 11x = 0 + 18 Combine like terms: 0 + 18 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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