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Simplifying 4x + 7 = -41 + -12x Reorder the terms: 7 + 4x = -41 + -12x Solving 7 + 4x = -41 + -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. 7 + 4x + 12x = -41 + -12x + 12x Combine like terms: 4x + 12x = 16x 7 + 16x = -41 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 16x = -41 + 0 7 + 16x = -41 Add '-7' to each side of the equation. 7 + -7 + 16x = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = -41 + -7 16x = -41 + -7 Combine like terms: -41 + -7 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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