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Simplifying -2(x + -6) + -12 + -93 = 5x + -49x + 21 Reorder the terms: -2(-6 + x) + -12 + -93 = 5x + -49x + 21 (-6 * -2 + x * -2) + -12 + -93 = 5x + -49x + 21 (12 + -2x) + -12 + -93 = 5x + -49x + 21 Reorder the terms: 12 + -12 + -93 + -2x = 5x + -49x + 21 Combine like terms: 12 + -12 = 0 0 + -93 + -2x = 5x + -49x + 21 -93 + -2x = 5x + -49x + 21 Reorder the terms: -93 + -2x = 21 + 5x + -49x Combine like terms: 5x + -49x = -44x -93 + -2x = 21 + -44x Solving -93 + -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. -93 + -2x + 44x = 21 + -44x + 44x Combine like terms: -2x + 44x = 42x -93 + 42x = 21 + -44x + 44x Combine like terms: -44x + 44x = 0 -93 + 42x = 21 + 0 -93 + 42x = 21 Add '93' to each side of the equation. -93 + 93 + 42x = 21 + 93 Combine like terms: -93 + 93 = 0 0 + 42x = 21 + 93 42x = 21 + 93 Combine like terms: 21 + 93 = 114 42x = 114 Divide each side by '42'. x = 2.714285714 Simplifying x = 2.714285714
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