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Simplifying -2(-1x + 7) + 7(6x + 1) = x + 14 + -6x Reorder the terms: -2(7 + -1x) + 7(6x + 1) = x + 14 + -6x (7 * -2 + -1x * -2) + 7(6x + 1) = x + 14 + -6x (-14 + 2x) + 7(6x + 1) = x + 14 + -6x Reorder the terms: -14 + 2x + 7(1 + 6x) = x + 14 + -6x -14 + 2x + (1 * 7 + 6x * 7) = x + 14 + -6x -14 + 2x + (7 + 42x) = x + 14 + -6x Reorder the terms: -14 + 7 + 2x + 42x = x + 14 + -6x Combine like terms: -14 + 7 = -7 -7 + 2x + 42x = x + 14 + -6x Combine like terms: 2x + 42x = 44x -7 + 44x = x + 14 + -6x Reorder the terms: -7 + 44x = 14 + x + -6x Combine like terms: x + -6x = -5x -7 + 44x = 14 + -5x Solving -7 + 44x = 14 + -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. -7 + 44x + 5x = 14 + -5x + 5x Combine like terms: 44x + 5x = 49x -7 + 49x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 49x = 14 + 0 -7 + 49x = 14 Add '7' to each side of the equation. -7 + 7 + 49x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 49x = 14 + 7 49x = 14 + 7 Combine like terms: 14 + 7 = 21 49x = 21 Divide each side by '49'. x = 0.4285714286 Simplifying x = 0.4285714286
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