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Simplifying 100 + 900 + 4x = 800 + 400 + 8x Combine like terms: 100 + 900 = 1000 1000 + 4x = 800 + 400 + 8x Combine like terms: 800 + 400 = 1200 1000 + 4x = 1200 + 8x Solving 1000 + 4x = 1200 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1000 + 4x + -8x = 1200 + 8x + -8x Combine like terms: 4x + -8x = -4x 1000 + -4x = 1200 + 8x + -8x Combine like terms: 8x + -8x = 0 1000 + -4x = 1200 + 0 1000 + -4x = 1200 Add '-1000' to each side of the equation. 1000 + -1000 + -4x = 1200 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -4x = 1200 + -1000 -4x = 1200 + -1000 Combine like terms: 1200 + -1000 = 200 -4x = 200 Divide each side by '-4'. x = -50 Simplifying x = -50
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