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Simplifying 6r + x + -3 = 2x + 5 + -1x Reorder the terms: -3 + 6r + x = 2x + 5 + -1x Reorder the terms: -3 + 6r + x = 5 + 2x + -1x Combine like terms: 2x + -1x = 1x -3 + 6r + x = 5 + 1x Solving -3 + 6r + x = 5 + 1x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6r + 3 + x = 5 + 3 + 1x Reorder the terms: -3 + 3 + 6r + x = 5 + 3 + 1x Combine like terms: -3 + 3 = 0 0 + 6r + x = 5 + 3 + 1x 6r + x = 5 + 3 + 1x Combine like terms: 5 + 3 = 8 6r + x = 8 + 1x Add '-1x' to each side of the equation. 6r + x + -1x = 8 + 1x + -1x Combine like terms: x + -1x = 0 6r + 0 = 8 + 1x + -1x 6r = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 6r = 8 + 0 6r = 8 Divide each side by '6'. r = 1.333333333 Simplifying r = 1.333333333
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