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Simplifying 2 + -1(13 + -1x) = -1(x + -19) + -6 2 + (13 * -1 + -1x * -1) = -1(x + -19) + -6 2 + (-13 + 1x) = -1(x + -19) + -6 Combine like terms: 2 + -13 = -11 -11 + 1x = -1(x + -19) + -6 Reorder the terms: -11 + 1x = -1(-19 + x) + -6 -11 + 1x = (-19 * -1 + x * -1) + -6 -11 + 1x = (19 + -1x) + -6 Reorder the terms: -11 + 1x = 19 + -6 + -1x Combine like terms: 19 + -6 = 13 -11 + 1x = 13 + -1x Solving -11 + 1x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 1x + x = 13 + -1x + x Combine like terms: 1x + x = 2x -11 + 2x = 13 + -1x + x Combine like terms: -1x + x = 0 -11 + 2x = 13 + 0 -11 + 2x = 13 Add '11' to each side of the equation. -11 + 11 + 2x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 13 + 11 2x = 13 + 11 Combine like terms: 13 + 11 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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