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Simplifying 5(w + 10) + 2x + 3(2x) = 700 Reorder the terms: 5(10 + w) + 2x + 3(2x) = 700 (10 * 5 + w * 5) + 2x + 3(2x) = 700 (50 + 5w) + 2x + 3(2x) = 700 Remove parenthesis around (2x) 50 + 5w + 2x + 3 * 2x = 700 Multiply 3 * 2 50 + 5w + 2x + 6x = 700 Combine like terms: 2x + 6x = 8x 50 + 5w + 8x = 700 Solving 50 + 5w + 8x = 700 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 5w + -50 + 8x = 700 + -50 Reorder the terms: 50 + -50 + 5w + 8x = 700 + -50 Combine like terms: 50 + -50 = 0 0 + 5w + 8x = 700 + -50 5w + 8x = 700 + -50 Combine like terms: 700 + -50 = 650 5w + 8x = 650 Add '-8x' to each side of the equation. 5w + 8x + -8x = 650 + -8x Combine like terms: 8x + -8x = 0 5w + 0 = 650 + -8x 5w = 650 + -8x Divide each side by '5'. w = 130 + -1.6x Simplifying w = 130 + -1.6x
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