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Simplifying (x + 3) + -2(3 + -2x) = 2(x + 5) + -1 Reorder the terms: (3 + x) + -2(3 + -2x) = 2(x + 5) + -1 Remove parenthesis around (3 + x) 3 + x + -2(3 + -2x) = 2(x + 5) + -1 3 + x + (3 * -2 + -2x * -2) = 2(x + 5) + -1 3 + x + (-6 + 4x) = 2(x + 5) + -1 Reorder the terms: 3 + -6 + x + 4x = 2(x + 5) + -1 Combine like terms: 3 + -6 = -3 -3 + x + 4x = 2(x + 5) + -1 Combine like terms: x + 4x = 5x -3 + 5x = 2(x + 5) + -1 Reorder the terms: -3 + 5x = 2(5 + x) + -1 -3 + 5x = (5 * 2 + x * 2) + -1 -3 + 5x = (10 + 2x) + -1 Reorder the terms: -3 + 5x = 10 + -1 + 2x Combine like terms: 10 + -1 = 9 -3 + 5x = 9 + 2x Solving -3 + 5x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 5x + -2x = 9 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = 9 + 0 -3 + 3x = 9 Add '3' to each side of the equation. -3 + 3 + 3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 9 + 3 3x = 9 + 3 Combine like terms: 9 + 3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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