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Simplifying 10(-2 + x) + 10 = 50(-1 + 4x) (-2 * 10 + x * 10) + 10 = 50(-1 + 4x) (-20 + 10x) + 10 = 50(-1 + 4x) Reorder the terms: -20 + 10 + 10x = 50(-1 + 4x) Combine like terms: -20 + 10 = -10 -10 + 10x = 50(-1 + 4x) -10 + 10x = (-1 * 50 + 4x * 50) -10 + 10x = (-50 + 200x) Solving -10 + 10x = -50 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. -10 + 10x + -200x = -50 + 200x + -200x Combine like terms: 10x + -200x = -190x -10 + -190x = -50 + 200x + -200x Combine like terms: 200x + -200x = 0 -10 + -190x = -50 + 0 -10 + -190x = -50 Add '10' to each side of the equation. -10 + 10 + -190x = -50 + 10 Combine like terms: -10 + 10 = 0 0 + -190x = -50 + 10 -190x = -50 + 10 Combine like terms: -50 + 10 = -40 -190x = -40 Divide each side by '-190'. x = 0.2105263158 Simplifying x = 0.2105263158
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