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Simplifying 12x + -1(x + -1) = 11 + 4x Reorder the terms: 12x + -1(-1 + x) = 11 + 4x 12x + (-1 * -1 + x * -1) = 11 + 4x 12x + (1 + -1x) = 11 + 4x Reorder the terms: 1 + 12x + -1x = 11 + 4x Combine like terms: 12x + -1x = 11x 1 + 11x = 11 + 4x Solving 1 + 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. 1 + 11x + -4x = 11 + 4x + -4x Combine like terms: 11x + -4x = 7x 1 + 7x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 7x = 11 + 0 1 + 7x = 11 Add '-1' to each side of the equation. 1 + -1 + 7x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 11 + -1 7x = 11 + -1 Combine like terms: 11 + -1 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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