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Simplifying 6(4x + 7) * 2 = 282 Reorder the terms: 6(7 + 4x) * 2 = 282 Reorder the terms for easier multiplication: 6 * 2(7 + 4x) = 282 Multiply 6 * 2 12(7 + 4x) = 282 (7 * 12 + 4x * 12) = 282 (84 + 48x) = 282 Solving 84 + 48x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 48x = 282 + -84 Combine like terms: 84 + -84 = 0 0 + 48x = 282 + -84 48x = 282 + -84 Combine like terms: 282 + -84 = 198 48x = 198 Divide each side by '48'. x = 4.125 Simplifying x = 4.125
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