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Simplifying 3 + 4(x + -5) = 4[3 + -6(x + 4)] Reorder the terms: 3 + 4(-5 + x) = 4[3 + -6(x + 4)] 3 + (-5 * 4 + x * 4) = 4[3 + -6(x + 4)] 3 + (-20 + 4x) = 4[3 + -6(x + 4)] Combine like terms: 3 + -20 = -17 -17 + 4x = 4[3 + -6(x + 4)] Reorder the terms: -17 + 4x = 4[3 + -6(4 + x)] -17 + 4x = 4[3 + (4 * -6 + x * -6)] -17 + 4x = 4[3 + (-24 + -6x)] Combine like terms: 3 + -24 = -21 -17 + 4x = 4[-21 + -6x] -17 + 4x = [-21 * 4 + -6x * 4] -17 + 4x = [-84 + -24x] Solving -17 + 4x = -84 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -17 + 4x + 24x = -84 + -24x + 24x Combine like terms: 4x + 24x = 28x -17 + 28x = -84 + -24x + 24x Combine like terms: -24x + 24x = 0 -17 + 28x = -84 + 0 -17 + 28x = -84 Add '17' to each side of the equation. -17 + 17 + 28x = -84 + 17 Combine like terms: -17 + 17 = 0 0 + 28x = -84 + 17 28x = -84 + 17 Combine like terms: -84 + 17 = -67 28x = -67 Divide each side by '28'. x = -2.392857143 Simplifying x = -2.392857143
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