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Simplifying 12(x + -6) = 6(x + -5) Reorder the terms: 12(-6 + x) = 6(x + -5) (-6 * 12 + x * 12) = 6(x + -5) (-72 + 12x) = 6(x + -5) Reorder the terms: -72 + 12x = 6(-5 + x) -72 + 12x = (-5 * 6 + x * 6) -72 + 12x = (-30 + 6x) Solving -72 + 12x = -30 + 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. -72 + 12x + -6x = -30 + 6x + -6x Combine like terms: 12x + -6x = 6x -72 + 6x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -72 + 6x = -30 + 0 -72 + 6x = -30 Add '72' to each side of the equation. -72 + 72 + 6x = -30 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = -30 + 72 6x = -30 + 72 Combine like terms: -30 + 72 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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