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Simplifying 2x + 7(-2x + -3) = -32 + -5x Reorder the terms: 2x + 7(-3 + -2x) = -32 + -5x 2x + (-3 * 7 + -2x * 7) = -32 + -5x 2x + (-21 + -14x) = -32 + -5x Reorder the terms: -21 + 2x + -14x = -32 + -5x Combine like terms: 2x + -14x = -12x -21 + -12x = -32 + -5x Solving -21 + -12x = -32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + -12x + 5x = -32 + -5x + 5x Combine like terms: -12x + 5x = -7x -21 + -7x = -32 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + -7x = -32 + 0 -21 + -7x = -32 Add '21' to each side of the equation. -21 + 21 + -7x = -32 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = -32 + 21 -7x = -32 + 21 Combine like terms: -32 + 21 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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