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Simplifying -6x + 5(-2x + -5) = -32 + -9x Reorder the terms: -6x + 5(-5 + -2x) = -32 + -9x -6x + (-5 * 5 + -2x * 5) = -32 + -9x -6x + (-25 + -10x) = -32 + -9x Reorder the terms: -25 + -6x + -10x = -32 + -9x Combine like terms: -6x + -10x = -16x -25 + -16x = -32 + -9x Solving -25 + -16x = -32 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -25 + -16x + 9x = -32 + -9x + 9x Combine like terms: -16x + 9x = -7x -25 + -7x = -32 + -9x + 9x Combine like terms: -9x + 9x = 0 -25 + -7x = -32 + 0 -25 + -7x = -32 Add '25' to each side of the equation. -25 + 25 + -7x = -32 + 25 Combine like terms: -25 + 25 = 0 0 + -7x = -32 + 25 -7x = -32 + 25 Combine like terms: -32 + 25 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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