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