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Simplifying 2(2x + -3) + 3(x + 1) = 2 + -1(3x + -5) Reorder the terms: 2(-3 + 2x) + 3(x + 1) = 2 + -1(3x + -5) (-3 * 2 + 2x * 2) + 3(x + 1) = 2 + -1(3x + -5) (-6 + 4x) + 3(x + 1) = 2 + -1(3x + -5) Reorder the terms: -6 + 4x + 3(1 + x) = 2 + -1(3x + -5) -6 + 4x + (1 * 3 + x * 3) = 2 + -1(3x + -5) -6 + 4x + (3 + 3x) = 2 + -1(3x + -5) Reorder the terms: -6 + 3 + 4x + 3x = 2 + -1(3x + -5) Combine like terms: -6 + 3 = -3 -3 + 4x + 3x = 2 + -1(3x + -5) Combine like terms: 4x + 3x = 7x -3 + 7x = 2 + -1(3x + -5) Reorder the terms: -3 + 7x = 2 + -1(-5 + 3x) -3 + 7x = 2 + (-5 * -1 + 3x * -1) -3 + 7x = 2 + (5 + -3x) Combine like terms: 2 + 5 = 7 -3 + 7x = 7 + -3x Solving -3 + 7x = 7 + -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. -3 + 7x + 3x = 7 + -3x + 3x Combine like terms: 7x + 3x = 10x -3 + 10x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 10x = 7 + 0 -3 + 10x = 7 Add '3' to each side of the equation. -3 + 3 + 10x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 7 + 3 10x = 7 + 3 Combine like terms: 7 + 3 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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