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Simplifying 4(-5 + -3x) = 5 + -4(2x + -3) (-5 * 4 + -3x * 4) = 5 + -4(2x + -3) (-20 + -12x) = 5 + -4(2x + -3) Reorder the terms: -20 + -12x = 5 + -4(-3 + 2x) -20 + -12x = 5 + (-3 * -4 + 2x * -4) -20 + -12x = 5 + (12 + -8x) Combine like terms: 5 + 12 = 17 -20 + -12x = 17 + -8x Solving -20 + -12x = 17 + -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. -20 + -12x + 8x = 17 + -8x + 8x Combine like terms: -12x + 8x = -4x -20 + -4x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + -4x = 17 + 0 -20 + -4x = 17 Add '20' to each side of the equation. -20 + 20 + -4x = 17 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 17 + 20 -4x = 17 + 20 Combine like terms: 17 + 20 = 37 -4x = 37 Divide each side by '-4'. x = -9.25 Simplifying x = -9.25
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