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Simplifying -8x + 6 + -2x + 11 = 3 + 3x + -7x Reorder the terms: 6 + 11 + -8x + -2x = 3 + 3x + -7x Combine like terms: 6 + 11 = 17 17 + -8x + -2x = 3 + 3x + -7x Combine like terms: -8x + -2x = -10x 17 + -10x = 3 + 3x + -7x Combine like terms: 3x + -7x = -4x 17 + -10x = 3 + -4x Solving 17 + -10x = 3 + -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. 17 + -10x + 4x = 3 + -4x + 4x Combine like terms: -10x + 4x = -6x 17 + -6x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + -6x = 3 + 0 17 + -6x = 3 Add '-17' to each side of the equation. 17 + -17 + -6x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 3 + -17 -6x = 3 + -17 Combine like terms: 3 + -17 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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