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Simplifying -2(-3x) = 22 + -3(x + -13) Remove parenthesis around (-3x) -2 * -3x = 22 + -3(x + -13) Multiply -2 * -3 6x = 22 + -3(x + -13) Reorder the terms: 6x = 22 + -3(-13 + x) 6x = 22 + (-13 * -3 + x * -3) 6x = 22 + (39 + -3x) Combine like terms: 22 + 39 = 61 6x = 61 + -3x Solving 6x = 61 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6x + 3x = 61 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x = 61 + -3x + 3x Combine like terms: -3x + 3x = 0 9x = 61 + 0 9x = 61 Divide each side by '9'. x = 6.777777778 Simplifying x = 6.777777778
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