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Simplifying 5(5x + -6) = 16 + 2x Reorder the terms: 5(-6 + 5x) = 16 + 2x (-6 * 5 + 5x * 5) = 16 + 2x (-30 + 25x) = 16 + 2x Solving -30 + 25x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 25x + -2x = 16 + 2x + -2x Combine like terms: 25x + -2x = 23x -30 + 23x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 23x = 16 + 0 -30 + 23x = 16 Add '30' to each side of the equation. -30 + 30 + 23x = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 23x = 16 + 30 23x = 16 + 30 Combine like terms: 16 + 30 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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