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Simplifying 3 + -6x + 5x + -14 = 9 + -2x + 5x + -16 Reorder the terms: 3 + -14 + -6x + 5x = 9 + -2x + 5x + -16 Combine like terms: 3 + -14 = -11 -11 + -6x + 5x = 9 + -2x + 5x + -16 Combine like terms: -6x + 5x = -1x -11 + -1x = 9 + -2x + 5x + -16 Reorder the terms: -11 + -1x = 9 + -16 + -2x + 5x Combine like terms: 9 + -16 = -7 -11 + -1x = -7 + -2x + 5x Combine like terms: -2x + 5x = 3x -11 + -1x = -7 + 3x Solving -11 + -1x = -7 + 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. -11 + -1x + -3x = -7 + 3x + -3x Combine like terms: -1x + -3x = -4x -11 + -4x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -4x = -7 + 0 -11 + -4x = -7 Add '11' to each side of the equation. -11 + 11 + -4x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -7 + 11 -4x = -7 + 11 Combine like terms: -7 + 11 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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