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Simplifying 3[4 + -1(-8x + -4)] = 48x + 36 Reorder the terms: 3[4 + -1(-4 + -8x)] = 48x + 36 3[4 + (-4 * -1 + -8x * -1)] = 48x + 36 3[4 + (4 + 8x)] = 48x + 36 Combine like terms: 4 + 4 = 8 3[8 + 8x] = 48x + 36 [8 * 3 + 8x * 3] = 48x + 36 [24 + 24x] = 48x + 36 Reorder the terms: 24 + 24x = 36 + 48x Solving 24 + 24x = 36 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 24 + 24x + -48x = 36 + 48x + -48x Combine like terms: 24x + -48x = -24x 24 + -24x = 36 + 48x + -48x Combine like terms: 48x + -48x = 0 24 + -24x = 36 + 0 24 + -24x = 36 Add '-24' to each side of the equation. 24 + -24 + -24x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = 36 + -24 -24x = 36 + -24 Combine like terms: 36 + -24 = 12 -24x = 12 Divide each side by '-24'. x = -0.5 Simplifying x = -0.5
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