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Simplifying 42 + -1(3x + -7) = 2(4x + -5) + 9 Reorder the terms: 42 + -1(-7 + 3x) = 2(4x + -5) + 9 42 + (-7 * -1 + 3x * -1) = 2(4x + -5) + 9 42 + (7 + -3x) = 2(4x + -5) + 9 Combine like terms: 42 + 7 = 49 49 + -3x = 2(4x + -5) + 9 Reorder the terms: 49 + -3x = 2(-5 + 4x) + 9 49 + -3x = (-5 * 2 + 4x * 2) + 9 49 + -3x = (-10 + 8x) + 9 Reorder the terms: 49 + -3x = -10 + 9 + 8x Combine like terms: -10 + 9 = -1 49 + -3x = -1 + 8x Solving 49 + -3x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49 + -3x + -8x = -1 + 8x + -8x Combine like terms: -3x + -8x = -11x 49 + -11x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 49 + -11x = -1 + 0 49 + -11x = -1 Add '-49' to each side of the equation. 49 + -49 + -11x = -1 + -49 Combine like terms: 49 + -49 = 0 0 + -11x = -1 + -49 -11x = -1 + -49 Combine like terms: -1 + -49 = -50 -11x = -50 Divide each side by '-11'. x = 4.545454545 Simplifying x = 4.545454545
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