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Simplifying 3(2x + 1) + -2(w + -2) = 5 Reorder the terms: 3(1 + 2x) + -2(w + -2) = 5 (1 * 3 + 2x * 3) + -2(w + -2) = 5 (3 + 6x) + -2(w + -2) = 5 Reorder the terms: 3 + 6x + -2(-2 + w) = 5 3 + 6x + (-2 * -2 + w * -2) = 5 3 + 6x + (4 + -2w) = 5 Reorder the terms: 3 + 4 + -2w + 6x = 5 Combine like terms: 3 + 4 = 7 7 + -2w + 6x = 5 Solving 7 + -2w + 6x = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2w + -7 + 6x = 5 + -7 Reorder the terms: 7 + -7 + -2w + 6x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -2w + 6x = 5 + -7 -2w + 6x = 5 + -7 Combine like terms: 5 + -7 = -2 -2w + 6x = -2 Add '-6x' to each side of the equation. -2w + 6x + -6x = -2 + -6x Combine like terms: 6x + -6x = 0 -2w + 0 = -2 + -6x -2w = -2 + -6x Divide each side by '-2'. w = 1 + 3x Simplifying w = 1 + 3x
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