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Simplifying 5(r + x) + 4(x + -6) = -4 (r * 5 + x * 5) + 4(x + -6) = -4 (5r + 5x) + 4(x + -6) = -4 Reorder the terms: 5r + 5x + 4(-6 + x) = -4 5r + 5x + (-6 * 4 + x * 4) = -4 5r + 5x + (-24 + 4x) = -4 Reorder the terms: -24 + 5r + 5x + 4x = -4 Combine like terms: 5x + 4x = 9x -24 + 5r + 9x = -4 Solving -24 + 5r + 9x = -4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 5r + 24 + 9x = -4 + 24 Reorder the terms: -24 + 24 + 5r + 9x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 5r + 9x = -4 + 24 5r + 9x = -4 + 24 Combine like terms: -4 + 24 = 20 5r + 9x = 20 Add '-9x' to each side of the equation. 5r + 9x + -9x = 20 + -9x Combine like terms: 9x + -9x = 0 5r + 0 = 20 + -9x 5r = 20 + -9x Divide each side by '5'. r = 4 + -1.8x Simplifying r = 4 + -1.8x
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