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Simplifying 3x + 7 + -4x + 9 = 5x + 13 + -8x + -1 Reorder the terms: 7 + 9 + 3x + -4x = 5x + 13 + -8x + -1 Combine like terms: 7 + 9 = 16 16 + 3x + -4x = 5x + 13 + -8x + -1 Combine like terms: 3x + -4x = -1x 16 + -1x = 5x + 13 + -8x + -1 Reorder the terms: 16 + -1x = 13 + -1 + 5x + -8x Combine like terms: 13 + -1 = 12 16 + -1x = 12 + 5x + -8x Combine like terms: 5x + -8x = -3x 16 + -1x = 12 + -3x Solving 16 + -1x = 12 + -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. 16 + -1x + 3x = 12 + -3x + 3x Combine like terms: -1x + 3x = 2x 16 + 2x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 2x = 12 + 0 16 + 2x = 12 Add '-16' to each side of the equation. 16 + -16 + 2x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 12 + -16 2x = 12 + -16 Combine like terms: 12 + -16 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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