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Simplifying 2(x + 3) + -7 = 6 + -5(x + 1) Reorder the terms: 2(3 + x) + -7 = 6 + -5(x + 1) (3 * 2 + x * 2) + -7 = 6 + -5(x + 1) (6 + 2x) + -7 = 6 + -5(x + 1) Reorder the terms: 6 + -7 + 2x = 6 + -5(x + 1) Combine like terms: 6 + -7 = -1 -1 + 2x = 6 + -5(x + 1) Reorder the terms: -1 + 2x = 6 + -5(1 + x) -1 + 2x = 6 + (1 * -5 + x * -5) -1 + 2x = 6 + (-5 + -5x) Combine like terms: 6 + -5 = 1 -1 + 2x = 1 + -5x Solving -1 + 2x = 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. -1 + 2x + 5x = 1 + -5x + 5x Combine like terms: 2x + 5x = 7x -1 + 7x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 7x = 1 + 0 -1 + 7x = 1 Add '1' to each side of the equation. -1 + 1 + 7x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 1 + 1 7x = 1 + 1 Combine like terms: 1 + 1 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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