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Simplifying 4(3x + -2) = 8(x + 2) Reorder the terms: 4(-2 + 3x) = 8(x + 2) (-2 * 4 + 3x * 4) = 8(x + 2) (-8 + 12x) = 8(x + 2) Reorder the terms: -8 + 12x = 8(2 + x) -8 + 12x = (2 * 8 + x * 8) -8 + 12x = (16 + 8x) Solving -8 + 12x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 12x + -8x = 16 + 8x + -8x Combine like terms: 12x + -8x = 4x -8 + 4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 4x = 16 + 0 -8 + 4x = 16 Add '8' to each side of the equation. -8 + 8 + 4x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 16 + 8 4x = 16 + 8 Combine like terms: 16 + 8 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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