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Simplifying -2(x + 4) = 5(x + -2) + -26 Reorder the terms: -2(4 + x) = 5(x + -2) + -26 (4 * -2 + x * -2) = 5(x + -2) + -26 (-8 + -2x) = 5(x + -2) + -26 Reorder the terms: -8 + -2x = 5(-2 + x) + -26 -8 + -2x = (-2 * 5 + x * 5) + -26 -8 + -2x = (-10 + 5x) + -26 Reorder the terms: -8 + -2x = -10 + -26 + 5x Combine like terms: -10 + -26 = -36 -8 + -2x = -36 + 5x Solving -8 + -2x = -36 + 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. -8 + -2x + -5x = -36 + 5x + -5x Combine like terms: -2x + -5x = -7x -8 + -7x = -36 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -7x = -36 + 0 -8 + -7x = -36 Add '8' to each side of the equation. -8 + 8 + -7x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -36 + 8 -7x = -36 + 8 Combine like terms: -36 + 8 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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