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Simplifying 8x + 42 = 4x + 100 Reorder the terms: 42 + 8x = 4x + 100 Reorder the terms: 42 + 8x = 100 + 4x Solving 42 + 8x = 100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + 8x + -4x = 100 + 4x + -4x Combine like terms: 8x + -4x = 4x 42 + 4x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 4x = 100 + 0 42 + 4x = 100 Add '-42' to each side of the equation. 42 + -42 + 4x = 100 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 100 + -42 4x = 100 + -42 Combine like terms: 100 + -42 = 58 4x = 58 Divide each side by '4'. x = 14.5 Simplifying x = 14.5
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