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Simplifying 5x + -20 + 3x + 30 = 7x + 20 Reorder the terms: -20 + 30 + 5x + 3x = 7x + 20 Combine like terms: -20 + 30 = 10 10 + 5x + 3x = 7x + 20 Combine like terms: 5x + 3x = 8x 10 + 8x = 7x + 20 Reorder the terms: 10 + 8x = 20 + 7x Solving 10 + 8x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 8x + -7x = 20 + 7x + -7x Combine like terms: 8x + -7x = 1x 10 + 1x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 1x = 20 + 0 10 + 1x = 20 Add '-10' to each side of the equation. 10 + -10 + 1x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 20 + -10 1x = 20 + -10 Combine like terms: 20 + -10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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