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Simplifying 5x + 20 = -2x + 27 Reorder the terms: 20 + 5x = -2x + 27 Reorder the terms: 20 + 5x = 27 + -2x Solving 20 + 5x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + 5x + 2x = 27 + -2x + 2x Combine like terms: 5x + 2x = 7x 20 + 7x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 7x = 27 + 0 20 + 7x = 27 Add '-20' to each side of the equation. 20 + -20 + 7x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 27 + -20 7x = 27 + -20 Combine like terms: 27 + -20 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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