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Simplifying 10x + 1(100) = 8x + 8(100) Multiply 1 * 100 10x + 100 = 8x + 8(100) Reorder the terms: 100 + 10x = 8x + 8(100) Multiply 8 * 100 100 + 10x = 8x + 800 Reorder the terms: 100 + 10x = 800 + 8x Solving 100 + 10x = 800 + 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. 100 + 10x + -8x = 800 + 8x + -8x Combine like terms: 10x + -8x = 2x 100 + 2x = 800 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + 2x = 800 + 0 100 + 2x = 800 Add '-100' to each side of the equation. 100 + -100 + 2x = 800 + -100 Combine like terms: 100 + -100 = 0 0 + 2x = 800 + -100 2x = 800 + -100 Combine like terms: 800 + -100 = 700 2x = 700 Divide each side by '2'. x = 350 Simplifying x = 350
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