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Simplifying 2(4x + -1) = -100(x + -3) + 4 Reorder the terms: 2(-1 + 4x) = -100(x + -3) + 4 (-1 * 2 + 4x * 2) = -100(x + -3) + 4 (-2 + 8x) = -100(x + -3) + 4 Reorder the terms: -2 + 8x = -100(-3 + x) + 4 -2 + 8x = (-3 * -100 + x * -100) + 4 -2 + 8x = (300 + -100x) + 4 Reorder the terms: -2 + 8x = 300 + 4 + -100x Combine like terms: 300 + 4 = 304 -2 + 8x = 304 + -100x Solving -2 + 8x = 304 + -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. -2 + 8x + 100x = 304 + -100x + 100x Combine like terms: 8x + 100x = 108x -2 + 108x = 304 + -100x + 100x Combine like terms: -100x + 100x = 0 -2 + 108x = 304 + 0 -2 + 108x = 304 Add '2' to each side of the equation. -2 + 2 + 108x = 304 + 2 Combine like terms: -2 + 2 = 0 0 + 108x = 304 + 2 108x = 304 + 2 Combine like terms: 304 + 2 = 306 108x = 306 Divide each side by '108'. x = 2.833333333 Simplifying x = 2.833333333
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