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Simplifying 6 + -1(4x + -5) = 7 + -5x Reorder the terms: 6 + -1(-5 + 4x) = 7 + -5x 6 + (-5 * -1 + 4x * -1) = 7 + -5x 6 + (5 + -4x) = 7 + -5x Combine like terms: 6 + 5 = 11 11 + -4x = 7 + -5x Solving 11 + -4x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + -4x + 5x = 7 + -5x + 5x Combine like terms: -4x + 5x = 1x 11 + 1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 1x = 7 + 0 11 + 1x = 7 Add '-11' to each side of the equation. 11 + -11 + 1x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 7 + -11 1x = 7 + -11 Combine like terms: 7 + -11 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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