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Simplifying 4x + 12 = -21 + -7x Reorder the terms: 12 + 4x = -21 + -7x Solving 12 + 4x = -21 + -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 + 4x + 7x = -21 + -7x + 7x Combine like terms: 4x + 7x = 11x 12 + 11x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 11x = -21 + 0 12 + 11x = -21 Add '-12' to each side of the equation. 12 + -12 + 11x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -21 + -12 11x = -21 + -12 Combine like terms: -21 + -12 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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