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