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Simplifying 3 + 4(x + -5) = 4[3 + -2(x + 4)] Reorder the terms: 3 + 4(-5 + x) = 4[3 + -2(x + 4)] 3 + (-5 * 4 + x * 4) = 4[3 + -2(x + 4)] 3 + (-20 + 4x) = 4[3 + -2(x + 4)] Combine like terms: 3 + -20 = -17 -17 + 4x = 4[3 + -2(x + 4)] Reorder the terms: -17 + 4x = 4[3 + -2(4 + x)] -17 + 4x = 4[3 + (4 * -2 + x * -2)] -17 + 4x = 4[3 + (-8 + -2x)] Combine like terms: 3 + -8 = -5 -17 + 4x = 4[-5 + -2x] -17 + 4x = [-5 * 4 + -2x * 4] -17 + 4x = [-20 + -8x] Solving -17 + 4x = -20 + -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. -17 + 4x + 8x = -20 + -8x + 8x Combine like terms: 4x + 8x = 12x -17 + 12x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 12x = -20 + 0 -17 + 12x = -20 Add '17' to each side of the equation. -17 + 17 + 12x = -20 + 17 Combine like terms: -17 + 17 = 0 0 + 12x = -20 + 17 12x = -20 + 17 Combine like terms: -20 + 17 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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