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Simplifying 8 + 2(x + -2) = 4 + -5(x + -8) Reorder the terms: 8 + 2(-2 + x) = 4 + -5(x + -8) 8 + (-2 * 2 + x * 2) = 4 + -5(x + -8) 8 + (-4 + 2x) = 4 + -5(x + -8) Combine like terms: 8 + -4 = 4 4 + 2x = 4 + -5(x + -8) Reorder the terms: 4 + 2x = 4 + -5(-8 + x) 4 + 2x = 4 + (-8 * -5 + x * -5) 4 + 2x = 4 + (40 + -5x) Combine like terms: 4 + 40 = 44 4 + 2x = 44 + -5x Solving 4 + 2x = 44 + -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 = 44 + -5x + 5x Combine like terms: 2x + 5x = 7x 4 + 7x = 44 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 7x = 44 + 0 4 + 7x = 44 Add '-4' to each side of the equation. 4 + -4 + 7x = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 44 + -4 7x = 44 + -4 Combine like terms: 44 + -4 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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