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Simplifying 3(X + -4) + 4 + R = 4(X + 3) + X Reorder the terms: 3(-4 + X) + 4 + R = 4(X + 3) + X (-4 * 3 + X * 3) + 4 + R = 4(X + 3) + X (-12 + 3X) + 4 + R = 4(X + 3) + X Reorder the terms: -12 + 4 + R + 3X = 4(X + 3) + X Combine like terms: -12 + 4 = -8 -8 + R + 3X = 4(X + 3) + X Reorder the terms: -8 + R + 3X = 4(3 + X) + X -8 + R + 3X = (3 * 4 + X * 4) + X -8 + R + 3X = (12 + 4X) + X Combine like terms: 4X + X = 5X -8 + R + 3X = 12 + 5X Solving -8 + R + 3X = 12 + 5X Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '8' to each side of the equation. -8 + R + 8 + 3X = 12 + 8 + 5X Reorder the terms: -8 + 8 + R + 3X = 12 + 8 + 5X Combine like terms: -8 + 8 = 0 0 + R + 3X = 12 + 8 + 5X R + 3X = 12 + 8 + 5X Combine like terms: 12 + 8 = 20 R + 3X = 20 + 5X Add '-3X' to each side of the equation. R + 3X + -3X = 20 + 5X + -3X Combine like terms: 3X + -3X = 0 R + 0 = 20 + 5X + -3X R = 20 + 5X + -3X Combine like terms: 5X + -3X = 2X R = 20 + 2X Simplifying R = 20 + 2X
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