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Simplifying 0.80(x + -100) = x + -50 Reorder the terms: 0.80(-100 + x) = x + -50 (-100 * 0.80 + x * 0.80) = x + -50 (-80 + 0.80x) = x + -50 Reorder the terms: -80 + 0.80x = -50 + x Solving -80 + 0.80x = -50 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -80 + 0.80x + -1x = -50 + x + -1x Combine like terms: 0.80x + -1x = -0.2x -80 + -0.2x = -50 + x + -1x Combine like terms: x + -1x = 0 -80 + -0.2x = -50 + 0 -80 + -0.2x = -50 Add '80' to each side of the equation. -80 + 80 + -0.2x = -50 + 80 Combine like terms: -80 + 80 = 0 0 + -0.2x = -50 + 80 -0.2x = -50 + 80 Combine like terms: -50 + 80 = 30 -0.2x = 30 Divide each side by '-0.2'. x = -150 Simplifying x = -150
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