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Simplifying -4(x + 3(2 + -4x) + 3(x + 2) + -5) = 8 + 2x -4(x + (2 * 3 + -4x * 3) + 3(x + 2) + -5) = 8 + 2x -4(x + (6 + -12x) + 3(x + 2) + -5) = 8 + 2x Reorder the terms: -4(x + 6 + -12x + 3(2 + x) + -5) = 8 + 2x -4(x + 6 + -12x + (2 * 3 + x * 3) + -5) = 8 + 2x -4(x + 6 + -12x + (6 + 3x) + -5) = 8 + 2x Reorder the terms: -4(6 + 6 + -5 + x + -12x + 3x) = 8 + 2x Combine like terms: 6 + 6 = 12 -4(12 + -5 + x + -12x + 3x) = 8 + 2x Combine like terms: 12 + -5 = 7 -4(7 + x + -12x + 3x) = 8 + 2x Combine like terms: x + -12x = -11x -4(7 + -11x + 3x) = 8 + 2x Combine like terms: -11x + 3x = -8x -4(7 + -8x) = 8 + 2x (7 * -4 + -8x * -4) = 8 + 2x (-28 + 32x) = 8 + 2x Solving -28 + 32x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 32x + -2x = 8 + 2x + -2x Combine like terms: 32x + -2x = 30x -28 + 30x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 30x = 8 + 0 -28 + 30x = 8 Add '28' to each side of the equation. -28 + 28 + 30x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 30x = 8 + 28 30x = 8 + 28 Combine like terms: 8 + 28 = 36 30x = 36 Divide each side by '30'. x = 1.2 Simplifying x = 1.2
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