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