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Simplifying x + 4(3x + -2) = -24 + 5x Reorder the terms: x + 4(-2 + 3x) = -24 + 5x x + (-2 * 4 + 3x * 4) = -24 + 5x x + (-8 + 12x) = -24 + 5x Reorder the terms: -8 + x + 12x = -24 + 5x Combine like terms: x + 12x = 13x -8 + 13x = -24 + 5x Solving -8 + 13x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 13x + -5x = -24 + 5x + -5x Combine like terms: 13x + -5x = 8x -8 + 8x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 8x = -24 + 0 -8 + 8x = -24 Add '8' to each side of the equation. -8 + 8 + 8x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -24 + 8 8x = -24 + 8 Combine like terms: -24 + 8 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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