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Simplifying 13x + -9 + -3 = 3x + 5x + 18 Reorder the terms: -9 + -3 + 13x = 3x + 5x + 18 Combine like terms: -9 + -3 = -12 -12 + 13x = 3x + 5x + 18 Reorder the terms: -12 + 13x = 18 + 3x + 5x Combine like terms: 3x + 5x = 8x -12 + 13x = 18 + 8x Solving -12 + 13x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 13x + -8x = 18 + 8x + -8x Combine like terms: 13x + -8x = 5x -12 + 5x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 5x = 18 + 0 -12 + 5x = 18 Add '12' to each side of the equation. -12 + 12 + 5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 18 + 12 5x = 18 + 12 Combine like terms: 18 + 12 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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