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