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Simplifying -32 = 4x + -6(x + 9) Reorder the terms: -32 = 4x + -6(9 + x) -32 = 4x + (9 * -6 + x * -6) -32 = 4x + (-54 + -6x) Reorder the terms: -32 = -54 + 4x + -6x Combine like terms: 4x + -6x = -2x -32 = -54 + -2x Solving -32 = -54 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 2x = -54 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 2x = -54 + 0 -32 + 2x = -54 Add '32' to each side of the equation. -32 + 32 + 2x = -54 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -54 + 32 2x = -54 + 32 Combine like terms: -54 + 32 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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