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Simplifying 10(-2x + 1) = 5(3x + -2) + -5x Reorder the terms: 10(1 + -2x) = 5(3x + -2) + -5x (1 * 10 + -2x * 10) = 5(3x + -2) + -5x (10 + -20x) = 5(3x + -2) + -5x Reorder the terms: 10 + -20x = 5(-2 + 3x) + -5x 10 + -20x = (-2 * 5 + 3x * 5) + -5x 10 + -20x = (-10 + 15x) + -5x Combine like terms: 15x + -5x = 10x 10 + -20x = -10 + 10x Solving 10 + -20x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + -20x + -10x = -10 + 10x + -10x Combine like terms: -20x + -10x = -30x 10 + -30x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -30x = -10 + 0 10 + -30x = -10 Add '-10' to each side of the equation. 10 + -10 + -30x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -30x = -10 + -10 -30x = -10 + -10 Combine like terms: -10 + -10 = -20 -30x = -20 Divide each side by '-30'. x = 0.6666666667 Simplifying x = 0.6666666667
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