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Simplifying 2x + -1(4 + -3x) = 12 + 3(x + 5) 2x + (4 * -1 + -3x * -1) = 12 + 3(x + 5) 2x + (-4 + 3x) = 12 + 3(x + 5) Reorder the terms: -4 + 2x + 3x = 12 + 3(x + 5) Combine like terms: 2x + 3x = 5x -4 + 5x = 12 + 3(x + 5) Reorder the terms: -4 + 5x = 12 + 3(5 + x) -4 + 5x = 12 + (5 * 3 + x * 3) -4 + 5x = 12 + (15 + 3x) Combine like terms: 12 + 15 = 27 -4 + 5x = 27 + 3x Solving -4 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = 27 + 0 -4 + 2x = 27 Add '4' to each side of the equation. -4 + 4 + 2x = 27 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 27 + 4 2x = 27 + 4 Combine like terms: 27 + 4 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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