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Simplifying (x + 2) + -2(3 + -5x) = 6(x + 4) + -3 Reorder the terms: (2 + x) + -2(3 + -5x) = 6(x + 4) + -3 Remove parenthesis around (2 + x) 2 + x + -2(3 + -5x) = 6(x + 4) + -3 2 + x + (3 * -2 + -5x * -2) = 6(x + 4) + -3 2 + x + (-6 + 10x) = 6(x + 4) + -3 Reorder the terms: 2 + -6 + x + 10x = 6(x + 4) + -3 Combine like terms: 2 + -6 = -4 -4 + x + 10x = 6(x + 4) + -3 Combine like terms: x + 10x = 11x -4 + 11x = 6(x + 4) + -3 Reorder the terms: -4 + 11x = 6(4 + x) + -3 -4 + 11x = (4 * 6 + x * 6) + -3 -4 + 11x = (24 + 6x) + -3 Reorder the terms: -4 + 11x = 24 + -3 + 6x Combine like terms: 24 + -3 = 21 -4 + 11x = 21 + 6x Solving -4 + 11x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 11x + -6x = 21 + 6x + -6x Combine like terms: 11x + -6x = 5x -4 + 5x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 5x = 21 + 0 -4 + 5x = 21 Add '4' to each side of the equation. -4 + 4 + 5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 21 + 4 5x = 21 + 4 Combine like terms: 21 + 4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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