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Simplifying 3x + -4(100 + -50x) = -1x + 80 3x + (100 * -4 + -50x * -4) = -1x + 80 3x + (-400 + 200x) = -1x + 80 Reorder the terms: -400 + 3x + 200x = -1x + 80 Combine like terms: 3x + 200x = 203x -400 + 203x = -1x + 80 Reorder the terms: -400 + 203x = 80 + -1x Solving -400 + 203x = 80 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -400 + 203x + x = 80 + -1x + x Combine like terms: 203x + x = 204x -400 + 204x = 80 + -1x + x Combine like terms: -1x + x = 0 -400 + 204x = 80 + 0 -400 + 204x = 80 Add '400' to each side of the equation. -400 + 400 + 204x = 80 + 400 Combine like terms: -400 + 400 = 0 0 + 204x = 80 + 400 204x = 80 + 400 Combine like terms: 80 + 400 = 480 204x = 480 Divide each side by '204'. x = 2.352941176 Simplifying x = 2.352941176
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