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Simplifying -32 = -4 + -7(3x + -2) Reorder the terms: -32 = -4 + -7(-2 + 3x) -32 = -4 + (-2 * -7 + 3x * -7) -32 = -4 + (14 + -21x) Combine like terms: -4 + 14 = 10 -32 = 10 + -21x Solving -32 = 10 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -32 + 21x = 10 + -21x + 21x Combine like terms: -21x + 21x = 0 -32 + 21x = 10 + 0 -32 + 21x = 10 Add '32' to each side of the equation. -32 + 32 + 21x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 21x = 10 + 32 21x = 10 + 32 Combine like terms: 10 + 32 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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