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Simplifying 2(20 + 7x) = 2(-4x + -13) (20 * 2 + 7x * 2) = 2(-4x + -13) (40 + 14x) = 2(-4x + -13) Reorder the terms: 40 + 14x = 2(-13 + -4x) 40 + 14x = (-13 * 2 + -4x * 2) 40 + 14x = (-26 + -8x) Solving 40 + 14x = -26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 40 + 14x + 8x = -26 + -8x + 8x Combine like terms: 14x + 8x = 22x 40 + 22x = -26 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + 22x = -26 + 0 40 + 22x = -26 Add '-40' to each side of the equation. 40 + -40 + 22x = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22x = -26 + -40 22x = -26 + -40 Combine like terms: -26 + -40 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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