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Simplifying -5x + -12 + 3x + -9 = -1x + -7x + 12 + 3x + 5 Reorder the terms: -12 + -9 + -5x + 3x = -1x + -7x + 12 + 3x + 5 Combine like terms: -12 + -9 = -21 -21 + -5x + 3x = -1x + -7x + 12 + 3x + 5 Combine like terms: -5x + 3x = -2x -21 + -2x = -1x + -7x + 12 + 3x + 5 Reorder the terms: -21 + -2x = 12 + 5 + -1x + -7x + 3x Combine like terms: 12 + 5 = 17 -21 + -2x = 17 + -1x + -7x + 3x Combine like terms: -1x + -7x = -8x -21 + -2x = 17 + -8x + 3x Combine like terms: -8x + 3x = -5x -21 + -2x = 17 + -5x Solving -21 + -2x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + -2x + 5x = 17 + -5x + 5x Combine like terms: -2x + 5x = 3x -21 + 3x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 3x = 17 + 0 -21 + 3x = 17 Add '21' to each side of the equation. -21 + 21 + 3x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 17 + 21 3x = 17 + 21 Combine like terms: 17 + 21 = 38 3x = 38 Divide each side by '3'. x = 12.66666667 Simplifying x = 12.66666667
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