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Simplifying 8 + -2(x + 5) = 5 + 2(2x + 4) Reorder the terms: 8 + -2(5 + x) = 5 + 2(2x + 4) 8 + (5 * -2 + x * -2) = 5 + 2(2x + 4) 8 + (-10 + -2x) = 5 + 2(2x + 4) Combine like terms: 8 + -10 = -2 -2 + -2x = 5 + 2(2x + 4) Reorder the terms: -2 + -2x = 5 + 2(4 + 2x) -2 + -2x = 5 + (4 * 2 + 2x * 2) -2 + -2x = 5 + (8 + 4x) Combine like terms: 5 + 8 = 13 -2 + -2x = 13 + 4x Solving -2 + -2x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -2x + -4x = 13 + 4x + -4x Combine like terms: -2x + -4x = -6x -2 + -6x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -6x = 13 + 0 -2 + -6x = 13 Add '2' to each side of the equation. -2 + 2 + -6x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 13 + 2 -6x = 13 + 2 Combine like terms: 13 + 2 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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