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Simplifying -1(7x + 6) + 2(x + -4) = 3x + -6 + 1 + x Reorder the terms: -1(6 + 7x) + 2(x + -4) = 3x + -6 + 1 + x (6 * -1 + 7x * -1) + 2(x + -4) = 3x + -6 + 1 + x (-6 + -7x) + 2(x + -4) = 3x + -6 + 1 + x Reorder the terms: -6 + -7x + 2(-4 + x) = 3x + -6 + 1 + x -6 + -7x + (-4 * 2 + x * 2) = 3x + -6 + 1 + x -6 + -7x + (-8 + 2x) = 3x + -6 + 1 + x Reorder the terms: -6 + -8 + -7x + 2x = 3x + -6 + 1 + x Combine like terms: -6 + -8 = -14 -14 + -7x + 2x = 3x + -6 + 1 + x Combine like terms: -7x + 2x = -5x -14 + -5x = 3x + -6 + 1 + x Reorder the terms: -14 + -5x = -6 + 1 + 3x + x Combine like terms: -6 + 1 = -5 -14 + -5x = -5 + 3x + x Combine like terms: 3x + x = 4x -14 + -5x = -5 + 4x Solving -14 + -5x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + -5x + -4x = -5 + 4x + -4x Combine like terms: -5x + -4x = -9x -14 + -9x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -9x = -5 + 0 -14 + -9x = -5 Add '14' to each side of the equation. -14 + 14 + -9x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = -5 + 14 -9x = -5 + 14 Combine like terms: -5 + 14 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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