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Simplifying 7(x + -4) + -1(3 + 8w) = -2x Reorder the terms: 7(-4 + x) + -1(3 + 8w) = -2x (-4 * 7 + x * 7) + -1(3 + 8w) = -2x (-28 + 7x) + -1(3 + 8w) = -2x -28 + 7x + (3 * -1 + 8w * -1) = -2x -28 + 7x + (-3 + -8w) = -2x Reorder the terms: -28 + -3 + -8w + 7x = -2x Combine like terms: -28 + -3 = -31 -31 + -8w + 7x = -2x Solving -31 + -8w + 7x = -2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '31' to each side of the equation. -31 + -8w + 31 + 7x = 31 + -2x Reorder the terms: -31 + 31 + -8w + 7x = 31 + -2x Combine like terms: -31 + 31 = 0 0 + -8w + 7x = 31 + -2x -8w + 7x = 31 + -2x Add '-7x' to each side of the equation. -8w + 7x + -7x = 31 + -2x + -7x Combine like terms: 7x + -7x = 0 -8w + 0 = 31 + -2x + -7x -8w = 31 + -2x + -7x Combine like terms: -2x + -7x = -9x -8w = 31 + -9x Divide each side by '-8'. w = -3.875 + 1.125x Simplifying w = -3.875 + 1.125x
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