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Simplifying wx + -5(x + -3) = 8 + 3x + -7 Reorder the terms: wx + -5(-3 + x) = 8 + 3x + -7 wx + (-3 * -5 + x * -5) = 8 + 3x + -7 wx + (15 + -5x) = 8 + 3x + -7 Reorder the terms: 15 + wx + -5x = 8 + 3x + -7 Reorder the terms: 15 + wx + -5x = 8 + -7 + 3x Combine like terms: 8 + -7 = 1 15 + wx + -5x = 1 + 3x Solving 15 + wx + -5x = 1 + 3x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + wx + -15 + -5x = 1 + -15 + 3x Reorder the terms: 15 + -15 + wx + -5x = 1 + -15 + 3x Combine like terms: 15 + -15 = 0 0 + wx + -5x = 1 + -15 + 3x wx + -5x = 1 + -15 + 3x Combine like terms: 1 + -15 = -14 wx + -5x = -14 + 3x Add '5x' to each side of the equation. wx + -5x + 5x = -14 + 3x + 5x Combine like terms: -5x + 5x = 0 wx + 0 = -14 + 3x + 5x wx = -14 + 3x + 5x Combine like terms: 3x + 5x = 8x wx = -14 + 8x Divide each side by 'x'. w = -14x-1 + 8 Simplifying w = -14x-1 + 8 Reorder the terms: w = 8 + -14x-1
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