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Simplifying 72(x + -6) = 36(x + -12) Reorder the terms: 72(-6 + x) = 36(x + -12) (-6 * 72 + x * 72) = 36(x + -12) (-432 + 72x) = 36(x + -12) Reorder the terms: -432 + 72x = 36(-12 + x) -432 + 72x = (-12 * 36 + x * 36) -432 + 72x = (-432 + 36x) Add '432' to each side of the equation. -432 + 432 + 72x = -432 + 432 + 36x Combine like terms: -432 + 432 = 0 0 + 72x = -432 + 432 + 36x 72x = -432 + 432 + 36x Combine like terms: -432 + 432 = 0 72x = 0 + 36x 72x = 36x Solving 72x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 72x + -36x = 36x + -36x Combine like terms: 72x + -36x = 36x 36x = 36x + -36x Combine like terms: 36x + -36x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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