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Simplifying 8x + -11 + 3x + -17 = x + -4x + 14 + -3 + 2x + -1 Reorder the terms: -11 + -17 + 8x + 3x = x + -4x + 14 + -3 + 2x + -1 Combine like terms: -11 + -17 = -28 -28 + 8x + 3x = x + -4x + 14 + -3 + 2x + -1 Combine like terms: 8x + 3x = 11x -28 + 11x = x + -4x + 14 + -3 + 2x + -1 Reorder the terms: -28 + 11x = 14 + -3 + -1 + x + -4x + 2x Combine like terms: 14 + -3 = 11 -28 + 11x = 11 + -1 + x + -4x + 2x Combine like terms: 11 + -1 = 10 -28 + 11x = 10 + x + -4x + 2x Combine like terms: x + -4x = -3x -28 + 11x = 10 + -3x + 2x Combine like terms: -3x + 2x = -1x -28 + 11x = 10 + -1x Solving -28 + 11x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 11x + x = 10 + -1x + x Combine like terms: 11x + x = 12x -28 + 12x = 10 + -1x + x Combine like terms: -1x + x = 0 -28 + 12x = 10 + 0 -28 + 12x = 10 Add '28' to each side of the equation. -28 + 28 + 12x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 12x = 10 + 28 12x = 10 + 28 Combine like terms: 10 + 28 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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