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Simplifying 4x + 8 = 102 + -7x Reorder the terms: 8 + 4x = 102 + -7x Solving 8 + 4x = 102 + -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. 8 + 4x + 7x = 102 + -7x + 7x Combine like terms: 4x + 7x = 11x 8 + 11x = 102 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 11x = 102 + 0 8 + 11x = 102 Add '-8' to each side of the equation. 8 + -8 + 11x = 102 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 102 + -8 11x = 102 + -8 Combine like terms: 102 + -8 = 94 11x = 94 Divide each side by '11'. x = 8.545454545 Simplifying x = 8.545454545
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