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Simplifying 4(8 + -6x) = 32 + 4x (8 * 4 + -6x * 4) = 32 + 4x (32 + -24x) = 32 + 4x Add '-32' to each side of the equation. 32 + -32 + -24x = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 0 + -24x = 32 + -32 + 4x -24x = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 -24x = 0 + 4x -24x = 4x Solving -24x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24x + -4x = 4x + -4x Combine like terms: -24x + -4x = -28x -28x = 4x + -4x Combine like terms: 4x + -4x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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