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Simplifying 6(2x + 7) = 4x + 102 Reorder the terms: 6(7 + 2x) = 4x + 102 (7 * 6 + 2x * 6) = 4x + 102 (42 + 12x) = 4x + 102 Reorder the terms: 42 + 12x = 102 + 4x Solving 42 + 12x = 102 + 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 + 12x + -4x = 102 + 4x + -4x Combine like terms: 12x + -4x = 8x 42 + 8x = 102 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 8x = 102 + 0 42 + 8x = 102 Add '-42' to each side of the equation. 42 + -42 + 8x = 102 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 102 + -42 8x = 102 + -42 Combine like terms: 102 + -42 = 60 8x = 60 Divide each side by '8'. x = 7.5 Simplifying x = 7.5
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