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Simplifying 3r + 7x + 1 = 2(5x + 1) Reorder the terms: 1 + 3r + 7x = 2(5x + 1) Reorder the terms: 1 + 3r + 7x = 2(1 + 5x) 1 + 3r + 7x = (1 * 2 + 5x * 2) 1 + 3r + 7x = (2 + 10x) Solving 1 + 3r + 7x = 2 + 10x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3r + -1 + 7x = 2 + -1 + 10x Reorder the terms: 1 + -1 + 3r + 7x = 2 + -1 + 10x Combine like terms: 1 + -1 = 0 0 + 3r + 7x = 2 + -1 + 10x 3r + 7x = 2 + -1 + 10x Combine like terms: 2 + -1 = 1 3r + 7x = 1 + 10x Add '-7x' to each side of the equation. 3r + 7x + -7x = 1 + 10x + -7x Combine like terms: 7x + -7x = 0 3r + 0 = 1 + 10x + -7x 3r = 1 + 10x + -7x Combine like terms: 10x + -7x = 3x 3r = 1 + 3x Divide each side by '3'. r = 0.3333333333 + x Simplifying r = 0.3333333333 + x
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