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Simplifying 3(10 + -1x) = 5(5x + 10) (10 * 3 + -1x * 3) = 5(5x + 10) (30 + -3x) = 5(5x + 10) Reorder the terms: 30 + -3x = 5(10 + 5x) 30 + -3x = (10 * 5 + 5x * 5) 30 + -3x = (50 + 25x) Solving 30 + -3x = 50 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 30 + -3x + -25x = 50 + 25x + -25x Combine like terms: -3x + -25x = -28x 30 + -28x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 30 + -28x = 50 + 0 30 + -28x = 50 Add '-30' to each side of the equation. 30 + -30 + -28x = 50 + -30 Combine like terms: 30 + -30 = 0 0 + -28x = 50 + -30 -28x = 50 + -30 Combine like terms: 50 + -30 = 20 -28x = 20 Divide each side by '-28'. x = -0.7142857143 Simplifying x = -0.7142857143
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