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Simplifying (x + 3) + -2(3 + -2x) = 2(x + 5) + -2 Reorder the terms: (3 + x) + -2(3 + -2x) = 2(x + 5) + -2 Remove parenthesis around (3 + x) 3 + x + -2(3 + -2x) = 2(x + 5) + -2 3 + x + (3 * -2 + -2x * -2) = 2(x + 5) + -2 3 + x + (-6 + 4x) = 2(x + 5) + -2 Reorder the terms: 3 + -6 + x + 4x = 2(x + 5) + -2 Combine like terms: 3 + -6 = -3 -3 + x + 4x = 2(x + 5) + -2 Combine like terms: x + 4x = 5x -3 + 5x = 2(x + 5) + -2 Reorder the terms: -3 + 5x = 2(5 + x) + -2 -3 + 5x = (5 * 2 + x * 2) + -2 -3 + 5x = (10 + 2x) + -2 Reorder the terms: -3 + 5x = 10 + -2 + 2x Combine like terms: 10 + -2 = 8 -3 + 5x = 8 + 2x Solving -3 + 5x = 8 + 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 = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = 8 + 0 -3 + 3x = 8 Add '3' to each side of the equation. -3 + 3 + 3x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 8 + 3 3x = 8 + 3 Combine like terms: 8 + 3 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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