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