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Simplifying (x + 2) + -2(2 + -5x) = 5(x + 5) + -3 Reorder the terms: (2 + x) + -2(2 + -5x) = 5(x + 5) + -3 Remove parenthesis around (2 + x) 2 + x + -2(2 + -5x) = 5(x + 5) + -3 2 + x + (2 * -2 + -5x * -2) = 5(x + 5) + -3 2 + x + (-4 + 10x) = 5(x + 5) + -3 Reorder the terms: 2 + -4 + x + 10x = 5(x + 5) + -3 Combine like terms: 2 + -4 = -2 -2 + x + 10x = 5(x + 5) + -3 Combine like terms: x + 10x = 11x -2 + 11x = 5(x + 5) + -3 Reorder the terms: -2 + 11x = 5(5 + x) + -3 -2 + 11x = (5 * 5 + x * 5) + -3 -2 + 11x = (25 + 5x) + -3 Reorder the terms: -2 + 11x = 25 + -3 + 5x Combine like terms: 25 + -3 = 22 -2 + 11x = 22 + 5x Solving -2 + 11x = 22 + 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. -2 + 11x + -5x = 22 + 5x + -5x Combine like terms: 11x + -5x = 6x -2 + 6x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 6x = 22 + 0 -2 + 6x = 22 Add '2' to each side of the equation. -2 + 2 + 6x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 22 + 2 6x = 22 + 2 Combine like terms: 22 + 2 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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