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Simplifying 3x + -1(6x + 18) = 5 + -1(12x + -2) Reorder the terms: 3x + -1(18 + 6x) = 5 + -1(12x + -2) 3x + (18 * -1 + 6x * -1) = 5 + -1(12x + -2) 3x + (-18 + -6x) = 5 + -1(12x + -2) Reorder the terms: -18 + 3x + -6x = 5 + -1(12x + -2) Combine like terms: 3x + -6x = -3x -18 + -3x = 5 + -1(12x + -2) Reorder the terms: -18 + -3x = 5 + -1(-2 + 12x) -18 + -3x = 5 + (-2 * -1 + 12x * -1) -18 + -3x = 5 + (2 + -12x) Combine like terms: 5 + 2 = 7 -18 + -3x = 7 + -12x Solving -18 + -3x = 7 + -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. -18 + -3x + 12x = 7 + -12x + 12x Combine like terms: -3x + 12x = 9x -18 + 9x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 -18 + 9x = 7 + 0 -18 + 9x = 7 Add '18' to each side of the equation. -18 + 18 + 9x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 7 + 18 9x = 7 + 18 Combine like terms: 7 + 18 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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