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Simplifying -2(x + 1) + 5w = 3(x + 1) + -2 Reorder the terms: -2(1 + x) + 5w = 3(x + 1) + -2 (1 * -2 + x * -2) + 5w = 3(x + 1) + -2 (-2 + -2x) + 5w = 3(x + 1) + -2 Reorder the terms: -2 + 5w + -2x = 3(x + 1) + -2 Reorder the terms: -2 + 5w + -2x = 3(1 + x) + -2 -2 + 5w + -2x = (1 * 3 + x * 3) + -2 -2 + 5w + -2x = (3 + 3x) + -2 Reorder the terms: -2 + 5w + -2x = 3 + -2 + 3x Combine like terms: 3 + -2 = 1 -2 + 5w + -2x = 1 + 3x Solving -2 + 5w + -2x = 1 + 3x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5w + 2 + -2x = 1 + 2 + 3x Reorder the terms: -2 + 2 + 5w + -2x = 1 + 2 + 3x Combine like terms: -2 + 2 = 0 0 + 5w + -2x = 1 + 2 + 3x 5w + -2x = 1 + 2 + 3x Combine like terms: 1 + 2 = 3 5w + -2x = 3 + 3x Add '2x' to each side of the equation. 5w + -2x + 2x = 3 + 3x + 2x Combine like terms: -2x + 2x = 0 5w + 0 = 3 + 3x + 2x 5w = 3 + 3x + 2x Combine like terms: 3x + 2x = 5x 5w = 3 + 5x Divide each side by '5'. w = 0.6 + x Simplifying w = 0.6 + x
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