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Simplifying 100x + -200 + 500 = -200x(-5) + -600x + -300 Reorder the terms: -200 + 500 + 100x = -200x(-5) + -600x + -300 Combine like terms: -200 + 500 = 300 300 + 100x = -200x(-5) + -600x + -300 Reorder the terms for easier multiplication: 300 + 100x = -200 * -5x + -600x + -300 Multiply -200 * -5 300 + 100x = 1000x + -600x + -300 Reorder the terms: 300 + 100x = -300 + 1000x + -600x Combine like terms: 1000x + -600x = 400x 300 + 100x = -300 + 400x Solving 300 + 100x = -300 + 400x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400x' to each side of the equation. 300 + 100x + -400x = -300 + 400x + -400x Combine like terms: 100x + -400x = -300x 300 + -300x = -300 + 400x + -400x Combine like terms: 400x + -400x = 0 300 + -300x = -300 + 0 300 + -300x = -300 Add '-300' to each side of the equation. 300 + -300 + -300x = -300 + -300 Combine like terms: 300 + -300 = 0 0 + -300x = -300 + -300 -300x = -300 + -300 Combine like terms: -300 + -300 = -600 -300x = -600 Divide each side by '-300'. x = 2 Simplifying x = 2
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