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Simplifying 2(6x + 24) = 2(7 + 14) Reorder the terms: 2(24 + 6x) = 2(7 + 14) (24 * 2 + 6x * 2) = 2(7 + 14) (48 + 12x) = 2(7 + 14) Combine like terms: 7 + 14 = 21 48 + 12x = 2(21) Multiply 2 * 21 48 + 12x = 42 Solving 48 + 12x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12x = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 12x = 42 + -48 12x = 42 + -48 Combine like terms: 42 + -48 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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