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Simplifying -1(4x + 5) + -1(5x + -6) = 7 + -1(2x + 1) Reorder the terms: -1(5 + 4x) + -1(5x + -6) = 7 + -1(2x + 1) (5 * -1 + 4x * -1) + -1(5x + -6) = 7 + -1(2x + 1) (-5 + -4x) + -1(5x + -6) = 7 + -1(2x + 1) Reorder the terms: -5 + -4x + -1(-6 + 5x) = 7 + -1(2x + 1) -5 + -4x + (-6 * -1 + 5x * -1) = 7 + -1(2x + 1) -5 + -4x + (6 + -5x) = 7 + -1(2x + 1) Reorder the terms: -5 + 6 + -4x + -5x = 7 + -1(2x + 1) Combine like terms: -5 + 6 = 1 1 + -4x + -5x = 7 + -1(2x + 1) Combine like terms: -4x + -5x = -9x 1 + -9x = 7 + -1(2x + 1) Reorder the terms: 1 + -9x = 7 + -1(1 + 2x) 1 + -9x = 7 + (1 * -1 + 2x * -1) 1 + -9x = 7 + (-1 + -2x) Combine like terms: 7 + -1 = 6 1 + -9x = 6 + -2x Solving 1 + -9x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -9x + 2x = 6 + -2x + 2x Combine like terms: -9x + 2x = -7x 1 + -7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -7x = 6 + 0 1 + -7x = 6 Add '-1' to each side of the equation. 1 + -1 + -7x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 6 + -1 -7x = 6 + -1 Combine like terms: 6 + -1 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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