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