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Simplifying 2 + -1(3x + 5) = 4(x + 1) Reorder the terms: 2 + -1(5 + 3x) = 4(x + 1) 2 + (5 * -1 + 3x * -1) = 4(x + 1) 2 + (-5 + -3x) = 4(x + 1) Combine like terms: 2 + -5 = -3 -3 + -3x = 4(x + 1) Reorder the terms: -3 + -3x = 4(1 + x) -3 + -3x = (1 * 4 + x * 4) -3 + -3x = (4 + 4x) Solving -3 + -3x = 4 + 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 + -3x + -4x = 4 + 4x + -4x Combine like terms: -3x + -4x = -7x -3 + -7x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -7x = 4 + 0 -3 + -7x = 4 Add '3' to each side of the equation. -3 + 3 + -7x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 4 + 3 -7x = 4 + 3 Combine like terms: 4 + 3 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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