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Simplifying 6x + -1(3x + 4) = 20 + 6(2 + -1x) Reorder the terms: 6x + -1(4 + 3x) = 20 + 6(2 + -1x) 6x + (4 * -1 + 3x * -1) = 20 + 6(2 + -1x) 6x + (-4 + -3x) = 20 + 6(2 + -1x) Reorder the terms: -4 + 6x + -3x = 20 + 6(2 + -1x) Combine like terms: 6x + -3x = 3x -4 + 3x = 20 + 6(2 + -1x) -4 + 3x = 20 + (2 * 6 + -1x * 6) -4 + 3x = 20 + (12 + -6x) Combine like terms: 20 + 12 = 32 -4 + 3x = 32 + -6x Solving -4 + 3x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 3x + 6x = 32 + -6x + 6x Combine like terms: 3x + 6x = 9x -4 + 9x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 9x = 32 + 0 -4 + 9x = 32 Add '4' to each side of the equation. -4 + 4 + 9x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 32 + 4 9x = 32 + 4 Combine like terms: 32 + 4 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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