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Simplifying -11(4x + -12) = -8(4x + 12) Reorder the terms: -11(-12 + 4x) = -8(4x + 12) (-12 * -11 + 4x * -11) = -8(4x + 12) (132 + -44x) = -8(4x + 12) Reorder the terms: 132 + -44x = -8(12 + 4x) 132 + -44x = (12 * -8 + 4x * -8) 132 + -44x = (-96 + -32x) Solving 132 + -44x = -96 + -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. 132 + -44x + 32x = -96 + -32x + 32x Combine like terms: -44x + 32x = -12x 132 + -12x = -96 + -32x + 32x Combine like terms: -32x + 32x = 0 132 + -12x = -96 + 0 132 + -12x = -96 Add '-132' to each side of the equation. 132 + -132 + -12x = -96 + -132 Combine like terms: 132 + -132 = 0 0 + -12x = -96 + -132 -12x = -96 + -132 Combine like terms: -96 + -132 = -228 -12x = -228 Divide each side by '-12'. x = 19 Simplifying x = 19
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