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Simplifying -32 + -5x = -2x + -1(4 + 7x) -32 + -5x = -2x + (4 * -1 + 7x * -1) -32 + -5x = -2x + (-4 + -7x) Reorder the terms: -32 + -5x = -4 + -2x + -7x Combine like terms: -2x + -7x = -9x -32 + -5x = -4 + -9x Solving -32 + -5x = -4 + -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. -32 + -5x + 9x = -4 + -9x + 9x Combine like terms: -5x + 9x = 4x -32 + 4x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 -32 + 4x = -4 + 0 -32 + 4x = -4 Add '32' to each side of the equation. -32 + 32 + 4x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -4 + 32 4x = -4 + 32 Combine like terms: -4 + 32 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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