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Simplifying 2(2x + -3) + 3(x + 1) = 5x + 2 Reorder the terms: 2(-3 + 2x) + 3(x + 1) = 5x + 2 (-3 * 2 + 2x * 2) + 3(x + 1) = 5x + 2 (-6 + 4x) + 3(x + 1) = 5x + 2 Reorder the terms: -6 + 4x + 3(1 + x) = 5x + 2 -6 + 4x + (1 * 3 + x * 3) = 5x + 2 -6 + 4x + (3 + 3x) = 5x + 2 Reorder the terms: -6 + 3 + 4x + 3x = 5x + 2 Combine like terms: -6 + 3 = -3 -3 + 4x + 3x = 5x + 2 Combine like terms: 4x + 3x = 7x -3 + 7x = 5x + 2 Reorder the terms: -3 + 7x = 2 + 5x Solving -3 + 7x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 7x + -5x = 2 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = 2 + 0 -3 + 2x = 2 Add '3' to each side of the equation. -3 + 3 + 2x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 2 + 3 2x = 2 + 3 Combine like terms: 2 + 3 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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