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Simplifying 8x + 4(100) = 7(100 + x) Multiply 4 * 100 8x + 400 = 7(100 + x) Reorder the terms: 400 + 8x = 7(100 + x) 400 + 8x = (100 * 7 + x * 7) 400 + 8x = (700 + 7x) Solving 400 + 8x = 700 + 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. 400 + 8x + -7x = 700 + 7x + -7x Combine like terms: 8x + -7x = 1x 400 + 1x = 700 + 7x + -7x Combine like terms: 7x + -7x = 0 400 + 1x = 700 + 0 400 + 1x = 700 Add '-400' to each side of the equation. 400 + -400 + 1x = 700 + -400 Combine like terms: 400 + -400 = 0 0 + 1x = 700 + -400 1x = 700 + -400 Combine like terms: 700 + -400 = 300 1x = 300 Divide each side by '1'. x = 300 Simplifying x = 300
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