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Simplifying 5x + -4y = 6(5x + 8) Reorder the terms: 5x + -4y = 6(8 + 5x) 5x + -4y = (8 * 6 + 5x * 6) 5x + -4y = (48 + 30x) Solving 5x + -4y = 48 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 5x + -30x + -4y = 48 + 30x + -30x Combine like terms: 5x + -30x = -25x -25x + -4y = 48 + 30x + -30x Combine like terms: 30x + -30x = 0 -25x + -4y = 48 + 0 -25x + -4y = 48 Add '4y' to each side of the equation. -25x + -4y + 4y = 48 + 4y Combine like terms: -4y + 4y = 0 -25x + 0 = 48 + 4y -25x = 48 + 4y Divide each side by '-25'. x = -1.92 + -0.16y Simplifying x = -1.92 + -0.16y
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