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Simplifying 3x + 8 + 5x + 4y = 5x + 4y + 5 + -20 Reorder the terms: 8 + 3x + 5x + 4y = 5x + 4y + 5 + -20 Combine like terms: 3x + 5x = 8x 8 + 8x + 4y = 5x + 4y + 5 + -20 Reorder the terms: 8 + 8x + 4y = 5 + -20 + 5x + 4y Combine like terms: 5 + -20 = -15 8 + 8x + 4y = -15 + 5x + 4y Add '-4y' to each side of the equation. 8 + 8x + 4y + -4y = -15 + 5x + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 8x + 0 = -15 + 5x + 4y + -4y 8 + 8x = -15 + 5x + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 8x = -15 + 5x + 0 8 + 8x = -15 + 5x Solving 8 + 8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x = -15 + 0 8 + 3x = -15 Add '-8' to each side of the equation. 8 + -8 + 3x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -15 + -8 3x = -15 + -8 Combine like terms: -15 + -8 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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