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Simplifying 100 + 8x = (50 + x) * 7 Reorder the terms for easier multiplication: 100 + 8x = 7(50 + x) 100 + 8x = (50 * 7 + x * 7) 100 + 8x = (350 + 7x) Solving 100 + 8x = 350 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 100 + 8x + -7x = 350 + 7x + -7x Combine like terms: 8x + -7x = 1x 100 + 1x = 350 + 7x + -7x Combine like terms: 7x + -7x = 0 100 + 1x = 350 + 0 100 + 1x = 350 Add '-100' to each side of the equation. 100 + -100 + 1x = 350 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 350 + -100 1x = 350 + -100 Combine like terms: 350 + -100 = 250 1x = 250 Divide each side by '1'. x = 250 Simplifying x = 250
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