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Simplifying 8x + 6 + -3x + 13 = 20x + -9 + 5x + 18 Reorder the terms: 6 + 13 + 8x + -3x = 20x + -9 + 5x + 18 Combine like terms: 6 + 13 = 19 19 + 8x + -3x = 20x + -9 + 5x + 18 Combine like terms: 8x + -3x = 5x 19 + 5x = 20x + -9 + 5x + 18 Reorder the terms: 19 + 5x = -9 + 18 + 20x + 5x Combine like terms: -9 + 18 = 9 19 + 5x = 9 + 20x + 5x Combine like terms: 20x + 5x = 25x 19 + 5x = 9 + 25x Solving 19 + 5x = 9 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 19 + 5x + -25x = 9 + 25x + -25x Combine like terms: 5x + -25x = -20x 19 + -20x = 9 + 25x + -25x Combine like terms: 25x + -25x = 0 19 + -20x = 9 + 0 19 + -20x = 9 Add '-19' to each side of the equation. 19 + -19 + -20x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -20x = 9 + -19 -20x = 9 + -19 Combine like terms: 9 + -19 = -10 -20x = -10 Divide each side by '-20'. x = 0.5 Simplifying x = 0.5
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