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Simplifying -2(x + -6) + -93 = 5x + -7(7x + 3) Reorder the terms: -2(-6 + x) + -93 = 5x + -7(7x + 3) (-6 * -2 + x * -2) + -93 = 5x + -7(7x + 3) (12 + -2x) + -93 = 5x + -7(7x + 3) Reorder the terms: 12 + -93 + -2x = 5x + -7(7x + 3) Combine like terms: 12 + -93 = -81 -81 + -2x = 5x + -7(7x + 3) Reorder the terms: -81 + -2x = 5x + -7(3 + 7x) -81 + -2x = 5x + (3 * -7 + 7x * -7) -81 + -2x = 5x + (-21 + -49x) Reorder the terms: -81 + -2x = -21 + 5x + -49x Combine like terms: 5x + -49x = -44x -81 + -2x = -21 + -44x Solving -81 + -2x = -21 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. -81 + -2x + 44x = -21 + -44x + 44x Combine like terms: -2x + 44x = 42x -81 + 42x = -21 + -44x + 44x Combine like terms: -44x + 44x = 0 -81 + 42x = -21 + 0 -81 + 42x = -21 Add '81' to each side of the equation. -81 + 81 + 42x = -21 + 81 Combine like terms: -81 + 81 = 0 0 + 42x = -21 + 81 42x = -21 + 81 Combine like terms: -21 + 81 = 60 42x = 60 Divide each side by '42'. x = 1.428571429 Simplifying x = 1.428571429
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