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Simplifying 2(3x + -1) = 7x + (2 + x) Reorder the terms: 2(-1 + 3x) = 7x + (2 + x) (-1 * 2 + 3x * 2) = 7x + (2 + x) (-2 + 6x) = 7x + (2 + x) Remove parenthesis around (2 + x) -2 + 6x = 7x + 2 + x Reorder the terms: -2 + 6x = 2 + 7x + x Combine like terms: 7x + x = 8x -2 + 6x = 2 + 8x Solving -2 + 6x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 6x + -8x = 2 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = 2 + 0 -2 + -2x = 2 Add '2' to each side of the equation. -2 + 2 + -2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 2 + 2 -2x = 2 + 2 Combine like terms: 2 + 2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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