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Simplifying 2(4x + -3) + -4(3x + -2) = -12 Reorder the terms: 2(-3 + 4x) + -4(3x + -2) = -12 (-3 * 2 + 4x * 2) + -4(3x + -2) = -12 (-6 + 8x) + -4(3x + -2) = -12 Reorder the terms: -6 + 8x + -4(-2 + 3x) = -12 -6 + 8x + (-2 * -4 + 3x * -4) = -12 -6 + 8x + (8 + -12x) = -12 Reorder the terms: -6 + 8 + 8x + -12x = -12 Combine like terms: -6 + 8 = 2 2 + 8x + -12x = -12 Combine like terms: 8x + -12x = -4x 2 + -4x = -12 Solving 2 + -4x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -12 + -2 -4x = -12 + -2 Combine like terms: -12 + -2 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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