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Simplifying -2(1 + -3x) = 22 + -1(x + -13) (1 * -2 + -3x * -2) = 22 + -1(x + -13) (-2 + 6x) = 22 + -1(x + -13) Reorder the terms: -2 + 6x = 22 + -1(-13 + x) -2 + 6x = 22 + (-13 * -1 + x * -1) -2 + 6x = 22 + (13 + -1x) Combine like terms: 22 + 13 = 35 -2 + 6x = 35 + -1x Solving -2 + 6x = 35 + -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. -2 + 6x + x = 35 + -1x + x Combine like terms: 6x + x = 7x -2 + 7x = 35 + -1x + x Combine like terms: -1x + x = 0 -2 + 7x = 35 + 0 -2 + 7x = 35 Add '2' to each side of the equation. -2 + 2 + 7x = 35 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 35 + 2 7x = 35 + 2 Combine like terms: 35 + 2 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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