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Simplifying 3(4 + 5x) = -32 + -7x (4 * 3 + 5x * 3) = -32 + -7x (12 + 15x) = -32 + -7x Solving 12 + 15x = -32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 15x + 7x = -32 + -7x + 7x Combine like terms: 15x + 7x = 22x 12 + 22x = -32 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 22x = -32 + 0 12 + 22x = -32 Add '-12' to each side of the equation. 12 + -12 + 22x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 22x = -32 + -12 22x = -32 + -12 Combine like terms: -32 + -12 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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