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Simplifying -4x + 24 = -8(2 + 3x) Reorder the terms: 24 + -4x = -8(2 + 3x) 24 + -4x = (2 * -8 + 3x * -8) 24 + -4x = (-16 + -24x) Solving 24 + -4x = -16 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 24 + -4x + 24x = -16 + -24x + 24x Combine like terms: -4x + 24x = 20x 24 + 20x = -16 + -24x + 24x Combine like terms: -24x + 24x = 0 24 + 20x = -16 + 0 24 + 20x = -16 Add '-24' to each side of the equation. 24 + -24 + 20x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = -16 + -24 20x = -16 + -24 Combine like terms: -16 + -24 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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