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Simplifying 12x + -1(x + -39) = 11 + 4x Reorder the terms: 12x + -1(-39 + x) = 11 + 4x 12x + (-39 * -1 + x * -1) = 11 + 4x 12x + (39 + -1x) = 11 + 4x Reorder the terms: 39 + 12x + -1x = 11 + 4x Combine like terms: 12x + -1x = 11x 39 + 11x = 11 + 4x Solving 39 + 11x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 39 + 11x + -4x = 11 + 4x + -4x Combine like terms: 11x + -4x = 7x 39 + 7x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 39 + 7x = 11 + 0 39 + 7x = 11 Add '-39' to each side of the equation. 39 + -39 + 7x = 11 + -39 Combine like terms: 39 + -39 = 0 0 + 7x = 11 + -39 7x = 11 + -39 Combine like terms: 11 + -39 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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