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Simplifying 2(3x + -1) = 11 + (8 + -1x) Reorder the terms: 2(-1 + 3x) = 11 + (8 + -1x) (-1 * 2 + 3x * 2) = 11 + (8 + -1x) (-2 + 6x) = 11 + (8 + -1x) Remove parenthesis around (8 + -1x) -2 + 6x = 11 + 8 + -1x Combine like terms: 11 + 8 = 19 -2 + 6x = 19 + -1x Solving -2 + 6x = 19 + -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 = 19 + -1x + x Combine like terms: 6x + x = 7x -2 + 7x = 19 + -1x + x Combine like terms: -1x + x = 0 -2 + 7x = 19 + 0 -2 + 7x = 19 Add '2' to each side of the equation. -2 + 2 + 7x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 19 + 2 7x = 19 + 2 Combine like terms: 19 + 2 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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