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Simplifying 8x + 11x + -9 = 10 + 16x + -3x + 4 Reorder the terms: -9 + 8x + 11x = 10 + 16x + -3x + 4 Combine like terms: 8x + 11x = 19x -9 + 19x = 10 + 16x + -3x + 4 Reorder the terms: -9 + 19x = 10 + 4 + 16x + -3x Combine like terms: 10 + 4 = 14 -9 + 19x = 14 + 16x + -3x Combine like terms: 16x + -3x = 13x -9 + 19x = 14 + 13x Solving -9 + 19x = 14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -9 + 19x + -13x = 14 + 13x + -13x Combine like terms: 19x + -13x = 6x -9 + 6x = 14 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + 6x = 14 + 0 -9 + 6x = 14 Add '9' to each side of the equation. -9 + 9 + 6x = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 14 + 9 6x = 14 + 9 Combine like terms: 14 + 9 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333
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