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Simplifying 12(2x + -5) = 12 + 3(6x + 2) Reorder the terms: 12(-5 + 2x) = 12 + 3(6x + 2) (-5 * 12 + 2x * 12) = 12 + 3(6x + 2) (-60 + 24x) = 12 + 3(6x + 2) Reorder the terms: -60 + 24x = 12 + 3(2 + 6x) -60 + 24x = 12 + (2 * 3 + 6x * 3) -60 + 24x = 12 + (6 + 18x) Combine like terms: 12 + 6 = 18 -60 + 24x = 18 + 18x Solving -60 + 24x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -60 + 24x + -18x = 18 + 18x + -18x Combine like terms: 24x + -18x = 6x -60 + 6x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -60 + 6x = 18 + 0 -60 + 6x = 18 Add '60' to each side of the equation. -60 + 60 + 6x = 18 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = 18 + 60 6x = 18 + 60 Combine like terms: 18 + 60 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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