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Simplifying 3 + 2x = 5(10x + -5) Reorder the terms: 3 + 2x = 5(-5 + 10x) 3 + 2x = (-5 * 5 + 10x * 5) 3 + 2x = (-25 + 50x) Solving 3 + 2x = -25 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 3 + 2x + -50x = -25 + 50x + -50x Combine like terms: 2x + -50x = -48x 3 + -48x = -25 + 50x + -50x Combine like terms: 50x + -50x = 0 3 + -48x = -25 + 0 3 + -48x = -25 Add '-3' to each side of the equation. 3 + -3 + -48x = -25 + -3 Combine like terms: 3 + -3 = 0 0 + -48x = -25 + -3 -48x = -25 + -3 Combine like terms: -25 + -3 = -28 -48x = -28 Divide each side by '-48'. x = 0.5833333333 Simplifying x = 0.5833333333
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