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Simplifying 4x + 7 = 101 + -8x Reorder the terms: 7 + 4x = 101 + -8x Solving 7 + 4x = 101 + -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. 7 + 4x + 8x = 101 + -8x + 8x Combine like terms: 4x + 8x = 12x 7 + 12x = 101 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 12x = 101 + 0 7 + 12x = 101 Add '-7' to each side of the equation. 7 + -7 + 12x = 101 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 101 + -7 12x = 101 + -7 Combine like terms: 101 + -7 = 94 12x = 94 Divide each side by '12'. x = 7.833333333 Simplifying x = 7.833333333
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