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Simplifying 3(12x + 4) = 8(12 + -8x) + 4 Reorder the terms: 3(4 + 12x) = 8(12 + -8x) + 4 (4 * 3 + 12x * 3) = 8(12 + -8x) + 4 (12 + 36x) = 8(12 + -8x) + 4 12 + 36x = (12 * 8 + -8x * 8) + 4 12 + 36x = (96 + -64x) + 4 Reorder the terms: 12 + 36x = 96 + 4 + -64x Combine like terms: 96 + 4 = 100 12 + 36x = 100 + -64x Solving 12 + 36x = 100 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 12 + 36x + 64x = 100 + -64x + 64x Combine like terms: 36x + 64x = 100x 12 + 100x = 100 + -64x + 64x Combine like terms: -64x + 64x = 0 12 + 100x = 100 + 0 12 + 100x = 100 Add '-12' to each side of the equation. 12 + -12 + 100x = 100 + -12 Combine like terms: 12 + -12 = 0 0 + 100x = 100 + -12 100x = 100 + -12 Combine like terms: 100 + -12 = 88 100x = 88 Divide each side by '100'. x = 0.88 Simplifying x = 0.88
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