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Simplifying 2(-4 + 7x) = 11x + 10 (-4 * 2 + 7x * 2) = 11x + 10 (-8 + 14x) = 11x + 10 Reorder the terms: -8 + 14x = 10 + 11x Solving -8 + 14x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -8 + 14x + -11x = 10 + 11x + -11x Combine like terms: 14x + -11x = 3x -8 + 3x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 3x = 10 + 0 -8 + 3x = 10 Add '8' to each side of the equation. -8 + 8 + 3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 10 + 8 3x = 10 + 8 Combine like terms: 10 + 8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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