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Simplifying 2 + -1(3x + -1) + -1(4x + -5) = 4x + -7 Reorder the terms: 2 + -1(-1 + 3x) + -1(4x + -5) = 4x + -7 2 + (-1 * -1 + 3x * -1) + -1(4x + -5) = 4x + -7 2 + (1 + -3x) + -1(4x + -5) = 4x + -7 Reorder the terms: 2 + 1 + -3x + -1(-5 + 4x) = 4x + -7 2 + 1 + -3x + (-5 * -1 + 4x * -1) = 4x + -7 2 + 1 + -3x + (5 + -4x) = 4x + -7 Reorder the terms: 2 + 1 + 5 + -3x + -4x = 4x + -7 Combine like terms: 2 + 1 = 3 3 + 5 + -3x + -4x = 4x + -7 Combine like terms: 3 + 5 = 8 8 + -3x + -4x = 4x + -7 Combine like terms: -3x + -4x = -7x 8 + -7x = 4x + -7 Reorder the terms: 8 + -7x = -7 + 4x Solving 8 + -7x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -7x + -4x = -7 + 4x + -4x Combine like terms: -7x + -4x = -11x 8 + -11x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -11x = -7 + 0 8 + -11x = -7 Add '-8' to each side of the equation. 8 + -8 + -11x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -7 + -8 -11x = -7 + -8 Combine like terms: -7 + -8 = -15 -11x = -15 Divide each side by '-11'. x = 1.363636364 Simplifying x = 1.363636364
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