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Simplifying 3x + 11 + -9x + -23 = -13x + 17 + 3x + -9 Reorder the terms: 11 + -23 + 3x + -9x = -13x + 17 + 3x + -9 Combine like terms: 11 + -23 = -12 -12 + 3x + -9x = -13x + 17 + 3x + -9 Combine like terms: 3x + -9x = -6x -12 + -6x = -13x + 17 + 3x + -9 Reorder the terms: -12 + -6x = 17 + -9 + -13x + 3x Combine like terms: 17 + -9 = 8 -12 + -6x = 8 + -13x + 3x Combine like terms: -13x + 3x = -10x -12 + -6x = 8 + -10x Solving -12 + -6x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + -6x + 10x = 8 + -10x + 10x Combine like terms: -6x + 10x = 4x -12 + 4x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 4x = 8 + 0 -12 + 4x = 8 Add '12' to each side of the equation. -12 + 12 + 4x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 8 + 12 4x = 8 + 12 Combine like terms: 8 + 12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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