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Simplifying 6(3 + -2x) + 9 = 2(7 + -3x) + -1d (3 * 6 + -2x * 6) + 9 = 2(7 + -3x) + -1d (18 + -12x) + 9 = 2(7 + -3x) + -1d Reorder the terms: 18 + 9 + -12x = 2(7 + -3x) + -1d Combine like terms: 18 + 9 = 27 27 + -12x = 2(7 + -3x) + -1d 27 + -12x = (7 * 2 + -3x * 2) + -1d 27 + -12x = (14 + -6x) + -1d Reorder the terms: 27 + -12x = 14 + -1d + -6x Solving 27 + -12x = 14 + -1d + -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. 27 + -12x + 6x = 14 + -1d + -6x + 6x Combine like terms: -12x + 6x = -6x 27 + -6x = 14 + -1d + -6x + 6x Combine like terms: -6x + 6x = 0 27 + -6x = 14 + -1d + 0 27 + -6x = 14 + -1d Add '-27' to each side of the equation. 27 + -27 + -6x = 14 + -27 + -1d Combine like terms: 27 + -27 = 0 0 + -6x = 14 + -27 + -1d -6x = 14 + -27 + -1d Combine like terms: 14 + -27 = -13 -6x = -13 + -1d Divide each side by '-6'. x = 2.166666667 + 0.1666666667d Simplifying x = 2.166666667 + 0.1666666667d
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