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Simplifying -2 + -9(-3x + 3) = 5(9x + -7) Reorder the terms: -2 + -9(3 + -3x) = 5(9x + -7) -2 + (3 * -9 + -3x * -9) = 5(9x + -7) -2 + (-27 + 27x) = 5(9x + -7) Combine like terms: -2 + -27 = -29 -29 + 27x = 5(9x + -7) Reorder the terms: -29 + 27x = 5(-7 + 9x) -29 + 27x = (-7 * 5 + 9x * 5) -29 + 27x = (-35 + 45x) Solving -29 + 27x = -35 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -29 + 27x + -45x = -35 + 45x + -45x Combine like terms: 27x + -45x = -18x -29 + -18x = -35 + 45x + -45x Combine like terms: 45x + -45x = 0 -29 + -18x = -35 + 0 -29 + -18x = -35 Add '29' to each side of the equation. -29 + 29 + -18x = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -18x = -35 + 29 -18x = -35 + 29 Combine like terms: -35 + 29 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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