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Simplifying 4(2x + -3) + -5(4x + -1) = 6 Reorder the terms: 4(-3 + 2x) + -5(4x + -1) = 6 (-3 * 4 + 2x * 4) + -5(4x + -1) = 6 (-12 + 8x) + -5(4x + -1) = 6 Reorder the terms: -12 + 8x + -5(-1 + 4x) = 6 -12 + 8x + (-1 * -5 + 4x * -5) = 6 -12 + 8x + (5 + -20x) = 6 Reorder the terms: -12 + 5 + 8x + -20x = 6 Combine like terms: -12 + 5 = -7 -7 + 8x + -20x = 6 Combine like terms: 8x + -20x = -12x -7 + -12x = 6 Solving -7 + -12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -12x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 6 + 7 -12x = 6 + 7 Combine like terms: 6 + 7 = 13 -12x = 13 Divide each side by '-12'. x = -1.083333333 Simplifying x = -1.083333333
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