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Simplifying (3w + 2)(x + -5) = 12x + 8 Reorder the terms: (2 + 3w)(x + -5) = 12x + 8 Reorder the terms: (2 + 3w)(-5 + x) = 12x + 8 Multiply (2 + 3w) * (-5 + x) (2(-5 + x) + 3w * (-5 + x)) = 12x + 8 ((-5 * 2 + x * 2) + 3w * (-5 + x)) = 12x + 8 ((-10 + 2x) + 3w * (-5 + x)) = 12x + 8 (-10 + 2x + (-5 * 3w + x * 3w)) = 12x + 8 (-10 + 2x + (-15w + 3wx)) = 12x + 8 Reorder the terms: (-10 + -15w + 3wx + 2x) = 12x + 8 (-10 + -15w + 3wx + 2x) = 12x + 8 Reorder the terms: -10 + -15w + 3wx + 2x = 8 + 12x Solving -10 + -15w + 3wx + 2x = 8 + 12x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -15w + 3wx + 10 + 2x = 8 + 10 + 12x Reorder the terms: -10 + 10 + -15w + 3wx + 2x = 8 + 10 + 12x Combine like terms: -10 + 10 = 0 0 + -15w + 3wx + 2x = 8 + 10 + 12x -15w + 3wx + 2x = 8 + 10 + 12x Combine like terms: 8 + 10 = 18 -15w + 3wx + 2x = 18 + 12x Add '-2x' to each side of the equation. -15w + 3wx + 2x + -2x = 18 + 12x + -2x Combine like terms: 2x + -2x = 0 -15w + 3wx + 0 = 18 + 12x + -2x -15w + 3wx = 18 + 12x + -2x Combine like terms: 12x + -2x = 10x -15w + 3wx = 18 + 10x Reorder the terms: -18 + -15w + 3wx + -10x = 18 + 10x + -18 + -10x Reorder the terms: -18 + -15w + 3wx + -10x = 18 + -18 + 10x + -10x Combine like terms: 18 + -18 = 0 -18 + -15w + 3wx + -10x = 0 + 10x + -10x -18 + -15w + 3wx + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -15w + 3wx + -10x = 0 The solution to this equation could not be determined.
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