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Simplifying 12(-2x + -12) = 4x + 32 Reorder the terms: 12(-12 + -2x) = 4x + 32 (-12 * 12 + -2x * 12) = 4x + 32 (-144 + -24x) = 4x + 32 Reorder the terms: -144 + -24x = 32 + 4x Solving -144 + -24x = 32 + 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. -144 + -24x + -4x = 32 + 4x + -4x Combine like terms: -24x + -4x = -28x -144 + -28x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -144 + -28x = 32 + 0 -144 + -28x = 32 Add '144' to each side of the equation. -144 + 144 + -28x = 32 + 144 Combine like terms: -144 + 144 = 0 0 + -28x = 32 + 144 -28x = 32 + 144 Combine like terms: 32 + 144 = 176 -28x = 176 Divide each side by '-28'. x = -6.285714286 Simplifying x = -6.285714286
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