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Simplifying 4(3x + -8) + -4 = 4(x + -2) + 36 Reorder the terms: 4(-8 + 3x) + -4 = 4(x + -2) + 36 (-8 * 4 + 3x * 4) + -4 = 4(x + -2) + 36 (-32 + 12x) + -4 = 4(x + -2) + 36 Reorder the terms: -32 + -4 + 12x = 4(x + -2) + 36 Combine like terms: -32 + -4 = -36 -36 + 12x = 4(x + -2) + 36 Reorder the terms: -36 + 12x = 4(-2 + x) + 36 -36 + 12x = (-2 * 4 + x * 4) + 36 -36 + 12x = (-8 + 4x) + 36 Reorder the terms: -36 + 12x = -8 + 36 + 4x Combine like terms: -8 + 36 = 28 -36 + 12x = 28 + 4x Solving -36 + 12x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 12x + -4x = 28 + 4x + -4x Combine like terms: 12x + -4x = 8x -36 + 8x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 8x = 28 + 0 -36 + 8x = 28 Add '36' to each side of the equation. -36 + 36 + 8x = 28 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 28 + 36 8x = 28 + 36 Combine like terms: 28 + 36 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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