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Simplifying 12x + 25 + -8x = x + -24 + -5x + 9 Reorder the terms: 25 + 12x + -8x = x + -24 + -5x + 9 Combine like terms: 12x + -8x = 4x 25 + 4x = x + -24 + -5x + 9 Reorder the terms: 25 + 4x = -24 + 9 + x + -5x Combine like terms: -24 + 9 = -15 25 + 4x = -15 + x + -5x Combine like terms: x + -5x = -4x 25 + 4x = -15 + -4x Solving 25 + 4x = -15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 25 + 4x + 4x = -15 + -4x + 4x Combine like terms: 4x + 4x = 8x 25 + 8x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 25 + 8x = -15 + 0 25 + 8x = -15 Add '-25' to each side of the equation. 25 + -25 + 8x = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = -15 + -25 8x = -15 + -25 Combine like terms: -15 + -25 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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