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Simplifying 50 + 1x = 0.80(x + -100) Reorder the terms: 50 + 1x = 0.80(-100 + x) 50 + 1x = (-100 * 0.80 + x * 0.80) 50 + 1x = (-80 + 0.80x) Solving 50 + 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 + 1x + -0.80x = -80 + 0.80x + -0.80x Combine like terms: 1x + -0.80x = 0.2x 50 + 0.2x = -80 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 50 + 0.2x = -80 + 0.00 50 + 0.2x = -80 Add '-50' to each side of the equation. 50 + -50 + 0.2x = -80 + -50 Combine like terms: 50 + -50 = 0 0 + 0.2x = -80 + -50 0.2x = -80 + -50 Combine like terms: -80 + -50 = -130 0.2x = -130 Divide each side by '0.2'. x = -650 Simplifying x = -650
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