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Simplifying 6x + 4(x + 8) = 102 Reorder the terms: 6x + 4(8 + x) = 102 6x + (8 * 4 + x * 4) = 102 6x + (32 + 4x) = 102 Reorder the terms: 32 + 6x + 4x = 102 Combine like terms: 6x + 4x = 10x 32 + 10x = 102 Solving 32 + 10x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 10x = 102 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 102 + -32 10x = 102 + -32 Combine like terms: 102 + -32 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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