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Simplifying 5(x + 2) + 2 = -5(x + -10) + -7 Reorder the terms: 5(2 + x) + 2 = -5(x + -10) + -7 (2 * 5 + x * 5) + 2 = -5(x + -10) + -7 (10 + 5x) + 2 = -5(x + -10) + -7 Reorder the terms: 10 + 2 + 5x = -5(x + -10) + -7 Combine like terms: 10 + 2 = 12 12 + 5x = -5(x + -10) + -7 Reorder the terms: 12 + 5x = -5(-10 + x) + -7 12 + 5x = (-10 * -5 + x * -5) + -7 12 + 5x = (50 + -5x) + -7 Reorder the terms: 12 + 5x = 50 + -7 + -5x Combine like terms: 50 + -7 = 43 12 + 5x = 43 + -5x Solving 12 + 5x = 43 + -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. 12 + 5x + 5x = 43 + -5x + 5x Combine like terms: 5x + 5x = 10x 12 + 10x = 43 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 10x = 43 + 0 12 + 10x = 43 Add '-12' to each side of the equation. 12 + -12 + 10x = 43 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 43 + -12 10x = 43 + -12 Combine like terms: 43 + -12 = 31 10x = 31 Divide each side by '10'. x = 3.1 Simplifying x = 3.1
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