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Simplifying 12(x + -5) = 6(x + -3) Reorder the terms: 12(-5 + x) = 6(x + -3) (-5 * 12 + x * 12) = 6(x + -3) (-60 + 12x) = 6(x + -3) Reorder the terms: -60 + 12x = 6(-3 + x) -60 + 12x = (-3 * 6 + x * 6) -60 + 12x = (-18 + 6x) Solving -60 + 12x = -18 + 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 = -18 + 6x + -6x Combine like terms: 12x + -6x = 6x -60 + 6x = -18 + 6x + -6x Combine like terms: 6x + -6x = 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 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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