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Simplifying 2 + -1(3x + 18) = 6(x + -1) + 12 Reorder the terms: 2 + -1(18 + 3x) = 6(x + -1) + 12 2 + (18 * -1 + 3x * -1) = 6(x + -1) + 12 2 + (-18 + -3x) = 6(x + -1) + 12 Combine like terms: 2 + -18 = -16 -16 + -3x = 6(x + -1) + 12 Reorder the terms: -16 + -3x = 6(-1 + x) + 12 -16 + -3x = (-1 * 6 + x * 6) + 12 -16 + -3x = (-6 + 6x) + 12 Reorder the terms: -16 + -3x = -6 + 12 + 6x Combine like terms: -6 + 12 = 6 -16 + -3x = 6 + 6x Solving -16 + -3x = 6 + 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. -16 + -3x + -6x = 6 + 6x + -6x Combine like terms: -3x + -6x = -9x -16 + -9x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -9x = 6 + 0 -16 + -9x = 6 Add '16' to each side of the equation. -16 + 16 + -9x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 6 + 16 -9x = 6 + 16 Combine like terms: 6 + 16 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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