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