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Simplifying -50.00 + 1x = 0.80(x + -100) Reorder the terms: -50.00 + 1x = 0.80(-100 + x) -50.00 + 1x = (-100 * 0.80 + x * 0.80) -50.00 + 1x = (-80 + 0.80x) Solving -50.00 + 1x = -80 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. -50.00 + 1x + -0.80x = -80 + 0.80x + -0.80x Combine like terms: 1x + -0.80x = 0.2x -50.00 + 0.2x = -80 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 -50.00 + 0.2x = -80 + 0.00 -50.00 + 0.2x = -80 Add '50.00' to each side of the equation. -50.00 + 50.00 + 0.2x = -80 + 50.00 Combine like terms: -50.00 + 50.00 = 0.00 0.00 + 0.2x = -80 + 50.00 0.2x = -80 + 50.00 Combine like terms: -80 + 50.00 = -30 0.2x = -30 Divide each side by '0.2'. x = -150 Simplifying x = -150
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