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Simplifying -7x + 24 = 7x + 9 + -15x Reorder the terms: 24 + -7x = 7x + 9 + -15x Reorder the terms: 24 + -7x = 9 + 7x + -15x Combine like terms: 7x + -15x = -8x 24 + -7x = 9 + -8x Solving 24 + -7x = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + -7x + 8x = 9 + -8x + 8x Combine like terms: -7x + 8x = 1x 24 + 1x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 1x = 9 + 0 24 + 1x = 9 Add '-24' to each side of the equation. 24 + -24 + 1x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 9 + -24 1x = 9 + -24 Combine like terms: 9 + -24 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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