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Simplifying -5x + -8(1 + 3x) = 24 + 3x -5x + (1 * -8 + 3x * -8) = 24 + 3x -5x + (-8 + -24x) = 24 + 3x Reorder the terms: -8 + -5x + -24x = 24 + 3x Combine like terms: -5x + -24x = -29x -8 + -29x = 24 + 3x Solving -8 + -29x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -29x + -3x = 24 + 3x + -3x Combine like terms: -29x + -3x = -32x -8 + -32x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -32x = 24 + 0 -8 + -32x = 24 Add '8' to each side of the equation. -8 + 8 + -32x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -32x = 24 + 8 -32x = 24 + 8 Combine like terms: 24 + 8 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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