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Simplifying 5x + 6(x + -12) = 5(x + -12) Reorder the terms: 5x + 6(-12 + x) = 5(x + -12) 5x + (-12 * 6 + x * 6) = 5(x + -12) 5x + (-72 + 6x) = 5(x + -12) Reorder the terms: -72 + 5x + 6x = 5(x + -12) Combine like terms: 5x + 6x = 11x -72 + 11x = 5(x + -12) Reorder the terms: -72 + 11x = 5(-12 + x) -72 + 11x = (-12 * 5 + x * 5) -72 + 11x = (-60 + 5x) Solving -72 + 11x = -60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -72 + 11x + -5x = -60 + 5x + -5x Combine like terms: 11x + -5x = 6x -72 + 6x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 6x = -60 + 0 -72 + 6x = -60 Add '72' to each side of the equation. -72 + 72 + 6x = -60 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = -60 + 72 6x = -60 + 72 Combine like terms: -60 + 72 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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