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Simplifying 5(x + -6) = 3[2 + -1(5 + -1x)] Reorder the terms: 5(-6 + x) = 3[2 + -1(5 + -1x)] (-6 * 5 + x * 5) = 3[2 + -1(5 + -1x)] (-30 + 5x) = 3[2 + -1(5 + -1x)] -30 + 5x = 3[2 + (5 * -1 + -1x * -1)] -30 + 5x = 3[2 + (-5 + 1x)] Combine like terms: 2 + -5 = -3 -30 + 5x = 3[-3 + 1x] -30 + 5x = [-3 * 3 + 1x * 3] -30 + 5x = [-9 + 3x] Solving -30 + 5x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x -30 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 2x = -9 + 0 -30 + 2x = -9 Add '30' to each side of the equation. -30 + 30 + 2x = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -9 + 30 2x = -9 + 30 Combine like terms: -9 + 30 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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