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Simplifying 3x + 30 + -7x + 25 = 5x + -20 + 6x Reorder the terms: 30 + 25 + 3x + -7x = 5x + -20 + 6x Combine like terms: 30 + 25 = 55 55 + 3x + -7x = 5x + -20 + 6x Combine like terms: 3x + -7x = -4x 55 + -4x = 5x + -20 + 6x Reorder the terms: 55 + -4x = -20 + 5x + 6x Combine like terms: 5x + 6x = 11x 55 + -4x = -20 + 11x Solving 55 + -4x = -20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 55 + -4x + -11x = -20 + 11x + -11x Combine like terms: -4x + -11x = -15x 55 + -15x = -20 + 11x + -11x Combine like terms: 11x + -11x = 0 55 + -15x = -20 + 0 55 + -15x = -20 Add '-55' to each side of the equation. 55 + -55 + -15x = -20 + -55 Combine like terms: 55 + -55 = 0 0 + -15x = -20 + -55 -15x = -20 + -55 Combine like terms: -20 + -55 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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