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Simplifying 12[4 + -1(3 + -2x)] + 8x = 3(8x + 5) + -8 12[4 + (3 * -1 + -2x * -1)] + 8x = 3(8x + 5) + -8 12[4 + (-3 + 2x)] + 8x = 3(8x + 5) + -8 Combine like terms: 4 + -3 = 1 12[1 + 2x] + 8x = 3(8x + 5) + -8 [1 * 12 + 2x * 12] + 8x = 3(8x + 5) + -8 [12 + 24x] + 8x = 3(8x + 5) + -8 Combine like terms: 24x + 8x = 32x 12 + 32x = 3(8x + 5) + -8 Reorder the terms: 12 + 32x = 3(5 + 8x) + -8 12 + 32x = (5 * 3 + 8x * 3) + -8 12 + 32x = (15 + 24x) + -8 Reorder the terms: 12 + 32x = 15 + -8 + 24x Combine like terms: 15 + -8 = 7 12 + 32x = 7 + 24x Solving 12 + 32x = 7 + 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. 12 + 32x + -24x = 7 + 24x + -24x Combine like terms: 32x + -24x = 8x 12 + 8x = 7 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + 8x = 7 + 0 12 + 8x = 7 Add '-12' to each side of the equation. 12 + -12 + 8x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 7 + -12 8x = 7 + -12 Combine like terms: 7 + -12 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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