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Simplifying 2(x + 1) + -10 = -5(x + 2) Reorder the terms: 2(1 + x) + -10 = -5(x + 2) (1 * 2 + x * 2) + -10 = -5(x + 2) (2 + 2x) + -10 = -5(x + 2) Reorder the terms: 2 + -10 + 2x = -5(x + 2) Combine like terms: 2 + -10 = -8 -8 + 2x = -5(x + 2) Reorder the terms: -8 + 2x = -5(2 + x) -8 + 2x = (2 * -5 + x * -5) -8 + 2x = (-10 + -5x) Solving -8 + 2x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 2x + 5x = -10 + -5x + 5x Combine like terms: 2x + 5x = 7x -8 + 7x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 7x = -10 + 0 -8 + 7x = -10 Add '8' to each side of the equation. -8 + 8 + 7x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -10 + 8 7x = -10 + 8 Combine like terms: -10 + 8 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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