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Simplifying 2(x + 2) = 4 + -5(4x + 5) Reorder the terms: 2(2 + x) = 4 + -5(4x + 5) (2 * 2 + x * 2) = 4 + -5(4x + 5) (4 + 2x) = 4 + -5(4x + 5) Reorder the terms: 4 + 2x = 4 + -5(5 + 4x) 4 + 2x = 4 + (5 * -5 + 4x * -5) 4 + 2x = 4 + (-25 + -20x) Combine like terms: 4 + -25 = -21 4 + 2x = -21 + -20x Solving 4 + 2x = -21 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 4 + 2x + 20x = -21 + -20x + 20x Combine like terms: 2x + 20x = 22x 4 + 22x = -21 + -20x + 20x Combine like terms: -20x + 20x = 0 4 + 22x = -21 + 0 4 + 22x = -21 Add '-4' to each side of the equation. 4 + -4 + 22x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 22x = -21 + -4 22x = -21 + -4 Combine like terms: -21 + -4 = -25 22x = -25 Divide each side by '22'. x = -1.136363636 Simplifying x = -1.136363636
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