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Simplifying 5(x + -4) + r = 4(x + 3) + x Reorder the terms: 5(-4 + x) + r = 4(x + 3) + x (-4 * 5 + x * 5) + r = 4(x + 3) + x (-20 + 5x) + r = 4(x + 3) + x Reorder the terms: -20 + r + 5x = 4(x + 3) + x Reorder the terms: -20 + r + 5x = 4(3 + x) + x -20 + r + 5x = (3 * 4 + x * 4) + x -20 + r + 5x = (12 + 4x) + x Combine like terms: 4x + x = 5x -20 + r + 5x = 12 + 5x Add '-5x' to each side of the equation. -20 + r + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + r + 0 = 12 + 5x + -5x -20 + r = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + r = 12 + 0 -20 + r = 12 Solving -20 + r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + r = 12 + 20 Combine like terms: -20 + 20 = 0 0 + r = 12 + 20 r = 12 + 20 Combine like terms: 12 + 20 = 32 r = 32 Simplifying r = 32
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