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Simplifying 12(x + -5) = 3(2x + -3) Reorder the terms: 12(-5 + x) = 3(2x + -3) (-5 * 12 + x * 12) = 3(2x + -3) (-60 + 12x) = 3(2x + -3) Reorder the terms: -60 + 12x = 3(-3 + 2x) -60 + 12x = (-3 * 3 + 2x * 3) -60 + 12x = (-9 + 6x) Solving -60 + 12x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -60 + 12x + -6x = -9 + 6x + -6x Combine like terms: 12x + -6x = 6x -60 + 6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 6x = -9 + 0 -60 + 6x = -9 Add '60' to each side of the equation. -60 + 60 + 6x = -9 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = -9 + 60 6x = -9 + 60 Combine like terms: -9 + 60 = 51 6x = 51 Divide each side by '6'. x = 8.5 Simplifying x = 8.5
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