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Simplifying 7x + 2 + -6x + -17 = 4x + 8 Reorder the terms: 2 + -17 + 7x + -6x = 4x + 8 Combine like terms: 2 + -17 = -15 -15 + 7x + -6x = 4x + 8 Combine like terms: 7x + -6x = 1x -15 + 1x = 4x + 8 Reorder the terms: -15 + 1x = 8 + 4x Solving -15 + 1x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 1x + -4x = 8 + 4x + -4x Combine like terms: 1x + -4x = -3x -15 + -3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -3x = 8 + 0 -15 + -3x = 8 Add '15' to each side of the equation. -15 + 15 + -3x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 8 + 15 -3x = 8 + 15 Combine like terms: 8 + 15 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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