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Simplifying 3(x + -1) + 2(2x) = 5(x + 3) Reorder the terms: 3(-1 + x) + 2(2x) = 5(x + 3) (-1 * 3 + x * 3) + 2(2x) = 5(x + 3) (-3 + 3x) + 2(2x) = 5(x + 3) Remove parenthesis around (2x) -3 + 3x + 2 * 2x = 5(x + 3) Multiply 2 * 2 -3 + 3x + 4x = 5(x + 3) Combine like terms: 3x + 4x = 7x -3 + 7x = 5(x + 3) Reorder the terms: -3 + 7x = 5(3 + x) -3 + 7x = (3 * 5 + x * 5) -3 + 7x = (15 + 5x) Solving -3 + 7x = 15 + 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 = 15 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = 15 + 0 -3 + 2x = 15 Add '3' to each side of the equation. -3 + 3 + 2x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 15 + 3 2x = 15 + 3 Combine like terms: 15 + 3 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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