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Simplifying 3(4x + -2) = 4(2x + -3) + 8 Reorder the terms: 3(-2 + 4x) = 4(2x + -3) + 8 (-2 * 3 + 4x * 3) = 4(2x + -3) + 8 (-6 + 12x) = 4(2x + -3) + 8 Reorder the terms: -6 + 12x = 4(-3 + 2x) + 8 -6 + 12x = (-3 * 4 + 2x * 4) + 8 -6 + 12x = (-12 + 8x) + 8 Reorder the terms: -6 + 12x = -12 + 8 + 8x Combine like terms: -12 + 8 = -4 -6 + 12x = -4 + 8x Solving -6 + 12x = -4 + 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. -6 + 12x + -8x = -4 + 8x + -8x Combine like terms: 12x + -8x = 4x -6 + 4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 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 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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