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Simplifying 2(3x + -1) = x + -1(2x + -14) Reorder the terms: 2(-1 + 3x) = x + -1(2x + -14) (-1 * 2 + 3x * 2) = x + -1(2x + -14) (-2 + 6x) = x + -1(2x + -14) Reorder the terms: -2 + 6x = x + -1(-14 + 2x) -2 + 6x = x + (-14 * -1 + 2x * -1) -2 + 6x = x + (14 + -2x) Reorder the terms: -2 + 6x = 14 + x + -2x Combine like terms: x + -2x = -1x -2 + 6x = 14 + -1x Solving -2 + 6x = 14 + -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 = 14 + -1x + x Combine like terms: 6x + x = 7x -2 + 7x = 14 + -1x + x Combine like terms: -1x + x = 0 -2 + 7x = 14 + 0 -2 + 7x = 14 Add '2' to each side of the equation. -2 + 2 + 7x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 14 + 2 7x = 14 + 2 Combine like terms: 14 + 2 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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