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Simplifying 2(x + 2) = -5(x + -8) Reorder the terms: 2(2 + x) = -5(x + -8) (2 * 2 + x * 2) = -5(x + -8) (4 + 2x) = -5(x + -8) Reorder the terms: 4 + 2x = -5(-8 + x) 4 + 2x = (-8 * -5 + x * -5) 4 + 2x = (40 + -5x) Solving 4 + 2x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 2x + 5x = 40 + -5x + 5x Combine like terms: 2x + 5x = 7x 4 + 7x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 7x = 40 + 0 4 + 7x = 40 Add '-4' to each side of the equation. 4 + -4 + 7x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 40 + -4 7x = 40 + -4 Combine like terms: 40 + -4 = 36 7x = 36 Divide each side by '7'. x = 5.142857143 Simplifying x = 5.142857143
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