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Simplifying 4[8 + -1(-2x + -4)] = 24x + 80 Reorder the terms: 4[8 + -1(-4 + -2x)] = 24x + 80 4[8 + (-4 * -1 + -2x * -1)] = 24x + 80 4[8 + (4 + 2x)] = 24x + 80 Combine like terms: 8 + 4 = 12 4[12 + 2x] = 24x + 80 [12 * 4 + 2x * 4] = 24x + 80 [48 + 8x] = 24x + 80 Reorder the terms: 48 + 8x = 80 + 24x Solving 48 + 8x = 80 + 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. 48 + 8x + -24x = 80 + 24x + -24x Combine like terms: 8x + -24x = -16x 48 + -16x = 80 + 24x + -24x Combine like terms: 24x + -24x = 0 48 + -16x = 80 + 0 48 + -16x = 80 Add '-48' to each side of the equation. 48 + -48 + -16x = 80 + -48 Combine like terms: 48 + -48 = 0 0 + -16x = 80 + -48 -16x = 80 + -48 Combine like terms: 80 + -48 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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