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Simplifying -4(x + 2) + -12 = -32x + 64 Reorder the terms: -4(2 + x) + -12 = -32x + 64 (2 * -4 + x * -4) + -12 = -32x + 64 (-8 + -4x) + -12 = -32x + 64 Reorder the terms: -8 + -12 + -4x = -32x + 64 Combine like terms: -8 + -12 = -20 -20 + -4x = -32x + 64 Reorder the terms: -20 + -4x = 64 + -32x Solving -20 + -4x = 64 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -20 + -4x + 32x = 64 + -32x + 32x Combine like terms: -4x + 32x = 28x -20 + 28x = 64 + -32x + 32x Combine like terms: -32x + 32x = 0 -20 + 28x = 64 + 0 -20 + 28x = 64 Add '20' to each side of the equation. -20 + 20 + 28x = 64 + 20 Combine like terms: -20 + 20 = 0 0 + 28x = 64 + 20 28x = 64 + 20 Combine like terms: 64 + 20 = 84 28x = 84 Divide each side by '28'. x = 3 Simplifying x = 3
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