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Simplifying 5x + -30 + 30x = 10 + 3x + -20 Reorder the terms: -30 + 5x + 30x = 10 + 3x + -20 Combine like terms: 5x + 30x = 35x -30 + 35x = 10 + 3x + -20 Reorder the terms: -30 + 35x = 10 + -20 + 3x Combine like terms: 10 + -20 = -10 -30 + 35x = -10 + 3x Solving -30 + 35x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 35x + -3x = -10 + 3x + -3x Combine like terms: 35x + -3x = 32x -30 + 32x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 32x = -10 + 0 -30 + 32x = -10 Add '30' to each side of the equation. -30 + 30 + 32x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 32x = -10 + 30 32x = -10 + 30 Combine like terms: -10 + 30 = 20 32x = 20 Divide each side by '32'. x = 0.625 Simplifying x = 0.625
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