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Simplifying 5(r + 2) + 3(x + 5) = 0 Reorder the terms: 5(2 + r) + 3(x + 5) = 0 (2 * 5 + r * 5) + 3(x + 5) = 0 (10 + 5r) + 3(x + 5) = 0 Reorder the terms: 10 + 5r + 3(5 + x) = 0 10 + 5r + (5 * 3 + x * 3) = 0 10 + 5r + (15 + 3x) = 0 Reorder the terms: 10 + 15 + 5r + 3x = 0 Combine like terms: 10 + 15 = 25 25 + 5r + 3x = 0 Solving 25 + 5r + 3x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 5r + -25 + 3x = 0 + -25 Reorder the terms: 25 + -25 + 5r + 3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5r + 3x = 0 + -25 5r + 3x = 0 + -25 Combine like terms: 0 + -25 = -25 5r + 3x = -25 Add '-3x' to each side of the equation. 5r + 3x + -3x = -25 + -3x Combine like terms: 3x + -3x = 0 5r + 0 = -25 + -3x 5r = -25 + -3x Divide each side by '5'. r = -5 + -0.6x Simplifying r = -5 + -0.6x
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