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Simplifying 100x + -200 + 500 = -200x + -1(-5) + -600x + -300 Reorder the terms: -200 + 500 + 100x = -200x + -1(-5) + -600x + -300 Combine like terms: -200 + 500 = 300 300 + 100x = -200x + -1(-5) + -600x + -300 Multiply -1 * -5 300 + 100x = -200x + 5 + -600x + -300 Reorder the terms: 300 + 100x = 5 + -300 + -200x + -600x Combine like terms: 5 + -300 = -295 300 + 100x = -295 + -200x + -600x Combine like terms: -200x + -600x = -800x 300 + 100x = -295 + -800x Solving 300 + 100x = -295 + -800x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '800x' to each side of the equation. 300 + 100x + 800x = -295 + -800x + 800x Combine like terms: 100x + 800x = 900x 300 + 900x = -295 + -800x + 800x Combine like terms: -800x + 800x = 0 300 + 900x = -295 + 0 300 + 900x = -295 Add '-300' to each side of the equation. 300 + -300 + 900x = -295 + -300 Combine like terms: 300 + -300 = 0 0 + 900x = -295 + -300 900x = -295 + -300 Combine like terms: -295 + -300 = -595 900x = -595 Divide each side by '900'. x = -0.6611111111 Simplifying x = -0.6611111111
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