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Simplifying 5(x + -6) = 3[2 + -1(5 + -1r)] Reorder the terms: 5(-6 + x) = 3[2 + -1(5 + -1r)] (-6 * 5 + x * 5) = 3[2 + -1(5 + -1r)] (-30 + 5x) = 3[2 + -1(5 + -1r)] -30 + 5x = 3[2 + (5 * -1 + -1r * -1)] -30 + 5x = 3[2 + (-5 + 1r)] Combine like terms: 2 + -5 = -3 -30 + 5x = 3[-3 + 1r] -30 + 5x = [-3 * 3 + 1r * 3] -30 + 5x = [-9 + 3r] Solving -30 + 5x = -9 + 3r Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5x = -9 + 30 + 3r Combine like terms: -30 + 30 = 0 0 + 5x = -9 + 30 + 3r 5x = -9 + 30 + 3r Combine like terms: -9 + 30 = 21 5x = 21 + 3r Divide each side by '5'. x = 4.2 + 0.6r Simplifying x = 4.2 + 0.6r
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