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Simplifying 32 + 3x = -4(3x + 7) Reorder the terms: 32 + 3x = -4(7 + 3x) 32 + 3x = (7 * -4 + 3x * -4) 32 + 3x = (-28 + -12x) Solving 32 + 3x = -28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 32 + 3x + 12x = -28 + -12x + 12x Combine like terms: 3x + 12x = 15x 32 + 15x = -28 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + 15x = -28 + 0 32 + 15x = -28 Add '-32' to each side of the equation. 32 + -32 + 15x = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 15x = -28 + -32 15x = -28 + -32 Combine like terms: -28 + -32 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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