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Simplifying 4(3x + -6) + 2 = 4(x + 2) + -46 Reorder the terms: 4(-6 + 3x) + 2 = 4(x + 2) + -46 (-6 * 4 + 3x * 4) + 2 = 4(x + 2) + -46 (-24 + 12x) + 2 = 4(x + 2) + -46 Reorder the terms: -24 + 2 + 12x = 4(x + 2) + -46 Combine like terms: -24 + 2 = -22 -22 + 12x = 4(x + 2) + -46 Reorder the terms: -22 + 12x = 4(2 + x) + -46 -22 + 12x = (2 * 4 + x * 4) + -46 -22 + 12x = (8 + 4x) + -46 Reorder the terms: -22 + 12x = 8 + -46 + 4x Combine like terms: 8 + -46 = -38 -22 + 12x = -38 + 4x Solving -22 + 12x = -38 + 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. -22 + 12x + -4x = -38 + 4x + -4x Combine like terms: 12x + -4x = 8x -22 + 8x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 8x = -38 + 0 -22 + 8x = -38 Add '22' to each side of the equation. -22 + 22 + 8x = -38 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = -38 + 22 8x = -38 + 22 Combine like terms: -38 + 22 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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