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Simplifying 7x + -20 = -1x + 2(x + 5) Reorder the terms: -20 + 7x = -1x + 2(x + 5) Reorder the terms: -20 + 7x = -1x + 2(5 + x) -20 + 7x = -1x + (5 * 2 + x * 2) -20 + 7x = -1x + (10 + 2x) Reorder the terms: -20 + 7x = 10 + -1x + 2x Combine like terms: -1x + 2x = 1x -20 + 7x = 10 + 1x Solving -20 + 7x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 7x + -1x = 10 + 1x + -1x Combine like terms: 7x + -1x = 6x -20 + 6x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -20 + 6x = 10 + 0 -20 + 6x = 10 Add '20' to each side of the equation. -20 + 20 + 6x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 10 + 20 6x = 10 + 20 Combine like terms: 10 + 20 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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