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Simplifying 4x + 12 = -32 + -3x Reorder the terms: 12 + 4x = -32 + -3x Solving 12 + 4x = -32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 4x + 3x = -32 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = -32 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = -32 + 0 12 + 7x = -32 Add '-12' to each side of the equation. 12 + -12 + 7x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -32 + -12 7x = -32 + -12 Combine like terms: -32 + -12 = -44 7x = -44 Divide each side by '7'. x = -6.285714286 Simplifying x = -6.285714286
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