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Simplifying 2x + 3(7x + -8) = 114 Reorder the terms: 2x + 3(-8 + 7x) = 114 2x + (-8 * 3 + 7x * 3) = 114 2x + (-24 + 21x) = 114 Reorder the terms: -24 + 2x + 21x = 114 Combine like terms: 2x + 21x = 23x -24 + 23x = 114 Solving -24 + 23x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 23x = 114 + 24 Combine like terms: -24 + 24 = 0 0 + 23x = 114 + 24 23x = 114 + 24 Combine like terms: 114 + 24 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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