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Simplifying -216 = 7x + -5(7x + -24) Reorder the terms: -216 = 7x + -5(-24 + 7x) -216 = 7x + (-24 * -5 + 7x * -5) -216 = 7x + (120 + -35x) Reorder the terms: -216 = 120 + 7x + -35x Combine like terms: 7x + -35x = -28x -216 = 120 + -28x Solving -216 = 120 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -216 + 28x = 120 + -28x + 28x Combine like terms: -28x + 28x = 0 -216 + 28x = 120 + 0 -216 + 28x = 120 Add '216' to each side of the equation. -216 + 216 + 28x = 120 + 216 Combine like terms: -216 + 216 = 0 0 + 28x = 120 + 216 28x = 120 + 216 Combine like terms: 120 + 216 = 336 28x = 336 Divide each side by '28'. x = 12 Simplifying x = 12
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