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Simplifying 3x + -1(x + 6) = 5x + 6(2 + -1x) Reorder the terms: 3x + -1(6 + x) = 5x + 6(2 + -1x) 3x + (6 * -1 + x * -1) = 5x + 6(2 + -1x) 3x + (-6 + -1x) = 5x + 6(2 + -1x) Reorder the terms: -6 + 3x + -1x = 5x + 6(2 + -1x) Combine like terms: 3x + -1x = 2x -6 + 2x = 5x + 6(2 + -1x) -6 + 2x = 5x + (2 * 6 + -1x * 6) -6 + 2x = 5x + (12 + -6x) Reorder the terms: -6 + 2x = 12 + 5x + -6x Combine like terms: 5x + -6x = -1x -6 + 2x = 12 + -1x Solving -6 + 2x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 2x + x = 12 + -1x + x Combine like terms: 2x + x = 3x -6 + 3x = 12 + -1x + x Combine like terms: -1x + x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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