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Simplifying (x + 3) + -2(2 + -5x) = (x + 5) + -2 Reorder the terms: (3 + x) + -2(2 + -5x) = (x + 5) + -2 Remove parenthesis around (3 + x) 3 + x + -2(2 + -5x) = (x + 5) + -2 3 + x + (2 * -2 + -5x * -2) = (x + 5) + -2 3 + x + (-4 + 10x) = (x + 5) + -2 Reorder the terms: 3 + -4 + x + 10x = (x + 5) + -2 Combine like terms: 3 + -4 = -1 -1 + x + 10x = (x + 5) + -2 Combine like terms: x + 10x = 11x -1 + 11x = (x + 5) + -2 Reorder the terms: -1 + 11x = (5 + x) + -2 Remove parenthesis around (5 + x) -1 + 11x = 5 + x + -2 Reorder the terms: -1 + 11x = 5 + -2 + x Combine like terms: 5 + -2 = 3 -1 + 11x = 3 + x Solving -1 + 11x = 3 + x 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. -1 + 11x + -1x = 3 + x + -1x Combine like terms: 11x + -1x = 10x -1 + 10x = 3 + x + -1x Combine like terms: x + -1x = 0 -1 + 10x = 3 + 0 -1 + 10x = 3 Add '1' to each side of the equation. -1 + 1 + 10x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 3 + 1 10x = 3 + 1 Combine like terms: 3 + 1 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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