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Simplifying 12x + -1(x + -3) = 2(2x + -1) + 12 Reorder the terms: 12x + -1(-3 + x) = 2(2x + -1) + 12 12x + (-3 * -1 + x * -1) = 2(2x + -1) + 12 12x + (3 + -1x) = 2(2x + -1) + 12 Reorder the terms: 3 + 12x + -1x = 2(2x + -1) + 12 Combine like terms: 12x + -1x = 11x 3 + 11x = 2(2x + -1) + 12 Reorder the terms: 3 + 11x = 2(-1 + 2x) + 12 3 + 11x = (-1 * 2 + 2x * 2) + 12 3 + 11x = (-2 + 4x) + 12 Reorder the terms: 3 + 11x = -2 + 12 + 4x Combine like terms: -2 + 12 = 10 3 + 11x = 10 + 4x Solving 3 + 11x = 10 + 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. 3 + 11x + -4x = 10 + 4x + -4x Combine like terms: 11x + -4x = 7x 3 + 7x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 7x = 10 + 0 3 + 7x = 10 Add '-3' to each side of the equation. 3 + -3 + 7x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 10 + -3 7x = 10 + -3 Combine like terms: 10 + -3 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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