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Simplifying 9(7x + -24) = 3(5x + -72) Reorder the terms: 9(-24 + 7x) = 3(5x + -72) (-24 * 9 + 7x * 9) = 3(5x + -72) (-216 + 63x) = 3(5x + -72) Reorder the terms: -216 + 63x = 3(-72 + 5x) -216 + 63x = (-72 * 3 + 5x * 3) -216 + 63x = (-216 + 15x) Add '216' to each side of the equation. -216 + 216 + 63x = -216 + 216 + 15x Combine like terms: -216 + 216 = 0 0 + 63x = -216 + 216 + 15x 63x = -216 + 216 + 15x Combine like terms: -216 + 216 = 0 63x = 0 + 15x 63x = 15x Solving 63x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 63x + -15x = 15x + -15x Combine like terms: 63x + -15x = 48x 48x = 15x + -15x Combine like terms: 15x + -15x = 0 48x = 0 Divide each side by '48'. x = 0 Simplifying x = 0
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