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Simplifying 5(2x + 7 + r) = 67 Reorder the terms: 5(7 + r + 2x) = 67 (7 * 5 + r * 5 + 2x * 5) = 67 (35 + 5r + 10x) = 67 Solving 35 + 5r + 10x = 67 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5r + -35 + 10x = 67 + -35 Reorder the terms: 35 + -35 + 5r + 10x = 67 + -35 Combine like terms: 35 + -35 = 0 0 + 5r + 10x = 67 + -35 5r + 10x = 67 + -35 Combine like terms: 67 + -35 = 32 5r + 10x = 32 Add '-10x' to each side of the equation. 5r + 10x + -10x = 32 + -10x Combine like terms: 10x + -10x = 0 5r + 0 = 32 + -10x 5r = 32 + -10x Divide each side by '5'. r = 6.4 + -2x Simplifying r = 6.4 + -2x
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