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Simplifying 7 + 4x = -8 + 7(1 + 5x) 7 + 4x = -8 + (1 * 7 + 5x * 7) 7 + 4x = -8 + (7 + 35x) Combine like terms: -8 + 7 = -1 7 + 4x = -1 + 35x Solving 7 + 4x = -1 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 7 + 4x + -35x = -1 + 35x + -35x Combine like terms: 4x + -35x = -31x 7 + -31x = -1 + 35x + -35x Combine like terms: 35x + -35x = 0 7 + -31x = -1 + 0 7 + -31x = -1 Add '-7' to each side of the equation. 7 + -7 + -31x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -31x = -1 + -7 -31x = -1 + -7 Combine like terms: -1 + -7 = -8 -31x = -8 Divide each side by '-31'. x = 0.2580645161 Simplifying x = 0.2580645161
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