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Simplifying -8x + 2 + -24x + -16 = 1 + 10x + -25 Reorder the terms: 2 + -16 + -8x + -24x = 1 + 10x + -25 Combine like terms: 2 + -16 = -14 -14 + -8x + -24x = 1 + 10x + -25 Combine like terms: -8x + -24x = -32x -14 + -32x = 1 + 10x + -25 Reorder the terms: -14 + -32x = 1 + -25 + 10x Combine like terms: 1 + -25 = -24 -14 + -32x = -24 + 10x Solving -14 + -32x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + -32x + -10x = -24 + 10x + -10x Combine like terms: -32x + -10x = -42x -14 + -42x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -42x = -24 + 0 -14 + -42x = -24 Add '14' to each side of the equation. -14 + 14 + -42x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -42x = -24 + 14 -42x = -24 + 14 Combine like terms: -24 + 14 = -10 -42x = -10 Divide each side by '-42'. x = 0.2380952381 Simplifying x = 0.2380952381
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