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Simplifying 3r + 2(x + -7) = 7(x + -1) Reorder the terms: 3r + 2(-7 + x) = 7(x + -1) 3r + (-7 * 2 + x * 2) = 7(x + -1) 3r + (-14 + 2x) = 7(x + -1) Reorder the terms: -14 + 3r + 2x = 7(x + -1) Reorder the terms: -14 + 3r + 2x = 7(-1 + x) -14 + 3r + 2x = (-1 * 7 + x * 7) -14 + 3r + 2x = (-7 + 7x) Solving -14 + 3r + 2x = -7 + 7x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3r + 14 + 2x = -7 + 14 + 7x Reorder the terms: -14 + 14 + 3r + 2x = -7 + 14 + 7x Combine like terms: -14 + 14 = 0 0 + 3r + 2x = -7 + 14 + 7x 3r + 2x = -7 + 14 + 7x Combine like terms: -7 + 14 = 7 3r + 2x = 7 + 7x Add '-2x' to each side of the equation. 3r + 2x + -2x = 7 + 7x + -2x Combine like terms: 2x + -2x = 0 3r + 0 = 7 + 7x + -2x 3r = 7 + 7x + -2x Combine like terms: 7x + -2x = 5x 3r = 7 + 5x Divide each side by '3'. r = 2.333333333 + 1.666666667x Simplifying r = 2.333333333 + 1.666666667x
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