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Simplifying 2x + -1(3 + -5x) = 4(x + 3) 2x + (3 * -1 + -5x * -1) = 4(x + 3) 2x + (-3 + 5x) = 4(x + 3) Reorder the terms: -3 + 2x + 5x = 4(x + 3) Combine like terms: 2x + 5x = 7x -3 + 7x = 4(x + 3) Reorder the terms: -3 + 7x = 4(3 + x) -3 + 7x = (3 * 4 + x * 4) -3 + 7x = (12 + 4x) Solving -3 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -3 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 3x = 12 + 0 -3 + 3x = 12 Add '3' to each side of the equation. -3 + 3 + 3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 12 + 3 3x = 12 + 3 Combine like terms: 12 + 3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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