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Simplifying 2(r + 3) + 3(x + 5) = 0 Reorder the terms: 2(3 + r) + 3(x + 5) = 0 (3 * 2 + r * 2) + 3(x + 5) = 0 (6 + 2r) + 3(x + 5) = 0 Reorder the terms: 6 + 2r + 3(5 + x) = 0 6 + 2r + (5 * 3 + x * 3) = 0 6 + 2r + (15 + 3x) = 0 Reorder the terms: 6 + 15 + 2r + 3x = 0 Combine like terms: 6 + 15 = 21 21 + 2r + 3x = 0 Solving 21 + 2r + 3x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 2r + -21 + 3x = 0 + -21 Reorder the terms: 21 + -21 + 2r + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2r + 3x = 0 + -21 2r + 3x = 0 + -21 Combine like terms: 0 + -21 = -21 2r + 3x = -21 Add '-3x' to each side of the equation. 2r + 3x + -3x = -21 + -3x Combine like terms: 3x + -3x = 0 2r + 0 = -21 + -3x 2r = -21 + -3x Divide each side by '2'. r = -10.5 + -1.5x Simplifying r = -10.5 + -1.5x
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