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Simplifying -32 + -4x = 6(2x + -9) Reorder the terms: -32 + -4x = 6(-9 + 2x) -32 + -4x = (-9 * 6 + 2x * 6) -32 + -4x = (-54 + 12x) Solving -32 + -4x = -54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + -4x + -12x = -54 + 12x + -12x Combine like terms: -4x + -12x = -16x -32 + -16x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -16x = -54 + 0 -32 + -16x = -54 Add '32' to each side of the equation. -32 + 32 + -16x = -54 + 32 Combine like terms: -32 + 32 = 0 0 + -16x = -54 + 32 -16x = -54 + 32 Combine like terms: -54 + 32 = -22 -16x = -22 Divide each side by '-16'. x = 1.375 Simplifying x = 1.375
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