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Simplifying -24 + x = 5(7x + 2) Reorder the terms: -24 + x = 5(2 + 7x) -24 + x = (2 * 5 + 7x * 5) -24 + x = (10 + 35x) Solving -24 + x = 10 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -24 + x + -35x = 10 + 35x + -35x Combine like terms: x + -35x = -34x -24 + -34x = 10 + 35x + -35x Combine like terms: 35x + -35x = 0 -24 + -34x = 10 + 0 -24 + -34x = 10 Add '24' to each side of the equation. -24 + 24 + -34x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -34x = 10 + 24 -34x = 10 + 24 Combine like terms: 10 + 24 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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