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Simplifying 2(4x + -3) = x + -8 + 3x + 12 Reorder the terms: 2(-3 + 4x) = x + -8 + 3x + 12 (-3 * 2 + 4x * 2) = x + -8 + 3x + 12 (-6 + 8x) = x + -8 + 3x + 12 Reorder the terms: -6 + 8x = -8 + 12 + x + 3x Combine like terms: -8 + 12 = 4 -6 + 8x = 4 + x + 3x Combine like terms: x + 3x = 4x -6 + 8x = 4 + 4x Solving -6 + 8x = 4 + 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. -6 + 8x + -4x = 4 + 4x + -4x Combine like terms: 8x + -4x = 4x -6 + 4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 4x = 4 + 0 -6 + 4x = 4 Add '6' to each side of the equation. -6 + 6 + 4x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 4 + 6 4x = 4 + 6 Combine like terms: 4 + 6 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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