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Simplifying 3x + -5x + -13 + x + 12 = 6x + 17 Reorder the terms: -13 + 12 + 3x + -5x + x = 6x + 17 Combine like terms: -13 + 12 = -1 -1 + 3x + -5x + x = 6x + 17 Combine like terms: 3x + -5x = -2x -1 + -2x + x = 6x + 17 Combine like terms: -2x + x = -1x -1 + -1x = 6x + 17 Reorder the terms: -1 + -1x = 17 + 6x Solving -1 + -1x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -1x + -6x = 17 + 6x + -6x Combine like terms: -1x + -6x = -7x -1 + -7x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -7x = 17 + 0 -1 + -7x = 17 Add '1' to each side of the equation. -1 + 1 + -7x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 17 + 1 -7x = 17 + 1 Combine like terms: 17 + 1 = 18 -7x = 18 Divide each side by '-7'. x = -2.571428571 Simplifying x = -2.571428571
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