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Simplifying 7x + 4 + -1x + -8 + -11x + -14 = -12 + 49x + 23 + -11 + -52x Reorder the terms: 4 + -8 + -14 + 7x + -1x + -11x = -12 + 49x + 23 + -11 + -52x Combine like terms: 4 + -8 = -4 -4 + -14 + 7x + -1x + -11x = -12 + 49x + 23 + -11 + -52x Combine like terms: -4 + -14 = -18 -18 + 7x + -1x + -11x = -12 + 49x + 23 + -11 + -52x Combine like terms: 7x + -1x = 6x -18 + 6x + -11x = -12 + 49x + 23 + -11 + -52x Combine like terms: 6x + -11x = -5x -18 + -5x = -12 + 49x + 23 + -11 + -52x Reorder the terms: -18 + -5x = -12 + 23 + -11 + 49x + -52x Combine like terms: -12 + 23 = 11 -18 + -5x = 11 + -11 + 49x + -52x Combine like terms: 11 + -11 = 0 -18 + -5x = 0 + 49x + -52x -18 + -5x = 49x + -52x Combine like terms: 49x + -52x = -3x -18 + -5x = -3x Solving -18 + -5x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + -5x + 3x = -3x + 3x Combine like terms: -5x + 3x = -2x -18 + -2x = -3x + 3x Combine like terms: -3x + 3x = 0 -18 + -2x = 0 Add '18' to each side of the equation. -18 + 18 + -2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 0 + 18 -2x = 0 + 18 Combine like terms: 0 + 18 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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