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Simplifying 7x + -26 = -6(3x + -5) + -6 Reorder the terms: -26 + 7x = -6(3x + -5) + -6 Reorder the terms: -26 + 7x = -6(-5 + 3x) + -6 -26 + 7x = (-5 * -6 + 3x * -6) + -6 -26 + 7x = (30 + -18x) + -6 Reorder the terms: -26 + 7x = 30 + -6 + -18x Combine like terms: 30 + -6 = 24 -26 + 7x = 24 + -18x Solving -26 + 7x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -26 + 7x + 18x = 24 + -18x + 18x Combine like terms: 7x + 18x = 25x -26 + 25x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 -26 + 25x = 24 + 0 -26 + 25x = 24 Add '26' to each side of the equation. -26 + 26 + 25x = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 25x = 24 + 26 25x = 24 + 26 Combine like terms: 24 + 26 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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