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Simplifying -9x + -32 = 4(x + 5) Reorder the terms: -32 + -9x = 4(x + 5) Reorder the terms: -32 + -9x = 4(5 + x) -32 + -9x = (5 * 4 + x * 4) -32 + -9x = (20 + 4x) Solving -32 + -9x = 20 + 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. -32 + -9x + -4x = 20 + 4x + -4x Combine like terms: -9x + -4x = -13x -32 + -13x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -13x = 20 + 0 -32 + -13x = 20 Add '32' to each side of the equation. -32 + 32 + -13x = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -13x = 20 + 32 -13x = 20 + 32 Combine like terms: 20 + 32 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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