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Simplifying 100 + 800 + 6x = 800 + 500 + 10x Combine like terms: 100 + 800 = 900 900 + 6x = 800 + 500 + 10x Combine like terms: 800 + 500 = 1300 900 + 6x = 1300 + 10x Solving 900 + 6x = 1300 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 900 + 6x + -10x = 1300 + 10x + -10x Combine like terms: 6x + -10x = -4x 900 + -4x = 1300 + 10x + -10x Combine like terms: 10x + -10x = 0 900 + -4x = 1300 + 0 900 + -4x = 1300 Add '-900' to each side of the equation. 900 + -900 + -4x = 1300 + -900 Combine like terms: 900 + -900 = 0 0 + -4x = 1300 + -900 -4x = 1300 + -900 Combine like terms: 1300 + -900 = 400 -4x = 400 Divide each side by '-4'. x = -100 Simplifying x = -100
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