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Simplifying 12 + -1(2x + 1) = -1(x + 2) + 5x Reorder the terms: 12 + -1(1 + 2x) = -1(x + 2) + 5x 12 + (1 * -1 + 2x * -1) = -1(x + 2) + 5x 12 + (-1 + -2x) = -1(x + 2) + 5x Combine like terms: 12 + -1 = 11 11 + -2x = -1(x + 2) + 5x Reorder the terms: 11 + -2x = -1(2 + x) + 5x 11 + -2x = (2 * -1 + x * -1) + 5x 11 + -2x = (-2 + -1x) + 5x Combine like terms: -1x + 5x = 4x 11 + -2x = -2 + 4x Solving 11 + -2x = -2 + 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. 11 + -2x + -4x = -2 + 4x + -4x Combine like terms: -2x + -4x = -6x 11 + -6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -6x = -2 + 0 11 + -6x = -2 Add '-11' to each side of the equation. 11 + -11 + -6x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -2 + -11 -6x = -2 + -11 Combine like terms: -2 + -11 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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