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Simplifying 34(10x + -5) = 20(15x + 2) Reorder the terms: 34(-5 + 10x) = 20(15x + 2) (-5 * 34 + 10x * 34) = 20(15x + 2) (-170 + 340x) = 20(15x + 2) Reorder the terms: -170 + 340x = 20(2 + 15x) -170 + 340x = (2 * 20 + 15x * 20) -170 + 340x = (40 + 300x) Solving -170 + 340x = 40 + 300x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300x' to each side of the equation. -170 + 340x + -300x = 40 + 300x + -300x Combine like terms: 340x + -300x = 40x -170 + 40x = 40 + 300x + -300x Combine like terms: 300x + -300x = 0 -170 + 40x = 40 + 0 -170 + 40x = 40 Add '170' to each side of the equation. -170 + 170 + 40x = 40 + 170 Combine like terms: -170 + 170 = 0 0 + 40x = 40 + 170 40x = 40 + 170 Combine like terms: 40 + 170 = 210 40x = 210 Divide each side by '40'. x = 5.25 Simplifying x = 5.25
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