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Simplifying -6(x + 1) = 3x + -2 + 3(3x + 2) Reorder the terms: -6(1 + x) = 3x + -2 + 3(3x + 2) (1 * -6 + x * -6) = 3x + -2 + 3(3x + 2) (-6 + -6x) = 3x + -2 + 3(3x + 2) Reorder the terms: -6 + -6x = 3x + -2 + 3(2 + 3x) -6 + -6x = 3x + -2 + (2 * 3 + 3x * 3) -6 + -6x = 3x + -2 + (6 + 9x) Reorder the terms: -6 + -6x = -2 + 6 + 3x + 9x Combine like terms: -2 + 6 = 4 -6 + -6x = 4 + 3x + 9x Combine like terms: 3x + 9x = 12x -6 + -6x = 4 + 12x Solving -6 + -6x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + -6x + -12x = 4 + 12x + -12x Combine like terms: -6x + -12x = -18x -6 + -18x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -18x = 4 + 0 -6 + -18x = 4 Add '6' to each side of the equation. -6 + 6 + -18x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 4 + 6 -18x = 4 + 6 Combine like terms: 4 + 6 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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