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Simplifying 2(x + -13) + -1(2x + -6) = -1(x + -3) Reorder the terms: 2(-13 + x) + -1(2x + -6) = -1(x + -3) (-13 * 2 + x * 2) + -1(2x + -6) = -1(x + -3) (-26 + 2x) + -1(2x + -6) = -1(x + -3) Reorder the terms: -26 + 2x + -1(-6 + 2x) = -1(x + -3) -26 + 2x + (-6 * -1 + 2x * -1) = -1(x + -3) -26 + 2x + (6 + -2x) = -1(x + -3) Reorder the terms: -26 + 6 + 2x + -2x = -1(x + -3) Combine like terms: -26 + 6 = -20 -20 + 2x + -2x = -1(x + -3) Combine like terms: 2x + -2x = 0 -20 + 0 = -1(x + -3) -20 = -1(x + -3) Reorder the terms: -20 = -1(-3 + x) -20 = (-3 * -1 + x * -1) -20 = (3 + -1x) Solving -20 = 3 + -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. -20 + x = 3 + -1x + x Combine like terms: -1x + x = 0 -20 + x = 3 + 0 -20 + x = 3 Add '20' to each side of the equation. -20 + 20 + x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + x = 3 + 20 x = 3 + 20 Combine like terms: 3 + 20 = 23 x = 23 Simplifying x = 23
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