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Simplifying 8(2x + -2) = 7(3w + 2) Reorder the terms: 8(-2 + 2x) = 7(3w + 2) (-2 * 8 + 2x * 8) = 7(3w + 2) (-16 + 16x) = 7(3w + 2) Reorder the terms: -16 + 16x = 7(2 + 3w) -16 + 16x = (2 * 7 + 3w * 7) -16 + 16x = (14 + 21w) Solving -16 + 16x = 14 + 21w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16x = 14 + 16 + 21w Combine like terms: -16 + 16 = 0 0 + 16x = 14 + 16 + 21w 16x = 14 + 16 + 21w Combine like terms: 14 + 16 = 30 16x = 30 + 21w Divide each side by '16'. x = 1.875 + 1.3125w Simplifying x = 1.875 + 1.3125w
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