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Simplifying 3(15x + -6) = -6(-3 + 2x) Reorder the terms: 3(-6 + 15x) = -6(-3 + 2x) (-6 * 3 + 15x * 3) = -6(-3 + 2x) (-18 + 45x) = -6(-3 + 2x) -18 + 45x = (-3 * -6 + 2x * -6) -18 + 45x = (18 + -12x) Solving -18 + 45x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -18 + 45x + 12x = 18 + -12x + 12x Combine like terms: 45x + 12x = 57x -18 + 57x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -18 + 57x = 18 + 0 -18 + 57x = 18 Add '18' to each side of the equation. -18 + 18 + 57x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 57x = 18 + 18 57x = 18 + 18 Combine like terms: 18 + 18 = 36 57x = 36 Divide each side by '57'. x = 0.6315789474 Simplifying x = 0.6315789474
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