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Simplifying 5 + 4(x + -2) = 4[5 + -6(x + -4)] Reorder the terms: 5 + 4(-2 + x) = 4[5 + -6(x + -4)] 5 + (-2 * 4 + x * 4) = 4[5 + -6(x + -4)] 5 + (-8 + 4x) = 4[5 + -6(x + -4)] Combine like terms: 5 + -8 = -3 -3 + 4x = 4[5 + -6(x + -4)] Reorder the terms: -3 + 4x = 4[5 + -6(-4 + x)] -3 + 4x = 4[5 + (-4 * -6 + x * -6)] -3 + 4x = 4[5 + (24 + -6x)] Combine like terms: 5 + 24 = 29 -3 + 4x = 4[29 + -6x] -3 + 4x = [29 * 4 + -6x * 4] -3 + 4x = [116 + -24x] Solving -3 + 4x = 116 + -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. -3 + 4x + 24x = 116 + -24x + 24x Combine like terms: 4x + 24x = 28x -3 + 28x = 116 + -24x + 24x Combine like terms: -24x + 24x = 0 -3 + 28x = 116 + 0 -3 + 28x = 116 Add '3' to each side of the equation. -3 + 3 + 28x = 116 + 3 Combine like terms: -3 + 3 = 0 0 + 28x = 116 + 3 28x = 116 + 3 Combine like terms: 116 + 3 = 119 28x = 119 Divide each side by '28'. x = 4.25 Simplifying x = 4.25
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