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Simplifying -4x + 4 + -9x + 5 + 8 = -3x + 1 + -13x + -4 + 3 Reorder the terms: 4 + 5 + 8 + -4x + -9x = -3x + 1 + -13x + -4 + 3 Combine like terms: 4 + 5 = 9 9 + 8 + -4x + -9x = -3x + 1 + -13x + -4 + 3 Combine like terms: 9 + 8 = 17 17 + -4x + -9x = -3x + 1 + -13x + -4 + 3 Combine like terms: -4x + -9x = -13x 17 + -13x = -3x + 1 + -13x + -4 + 3 Reorder the terms: 17 + -13x = 1 + -4 + 3 + -3x + -13x Combine like terms: 1 + -4 = -3 17 + -13x = -3 + 3 + -3x + -13x Combine like terms: -3 + 3 = 0 17 + -13x = 0 + -3x + -13x 17 + -13x = -3x + -13x Combine like terms: -3x + -13x = -16x 17 + -13x = -16x Solving 17 + -13x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 17 + -13x + 16x = -16x + 16x Combine like terms: -13x + 16x = 3x 17 + 3x = -16x + 16x Combine like terms: -16x + 16x = 0 17 + 3x = 0 Add '-17' to each side of the equation. 17 + -17 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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