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Simplifying 3(9x + -2) = 5(3x + 7) Reorder the terms: 3(-2 + 9x) = 5(3x + 7) (-2 * 3 + 9x * 3) = 5(3x + 7) (-6 + 27x) = 5(3x + 7) Reorder the terms: -6 + 27x = 5(7 + 3x) -6 + 27x = (7 * 5 + 3x * 5) -6 + 27x = (35 + 15x) Solving -6 + 27x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 27x + -15x = 35 + 15x + -15x Combine like terms: 27x + -15x = 12x -6 + 12x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + 12x = 35 + 0 -6 + 12x = 35 Add '6' to each side of the equation. -6 + 6 + 12x = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 35 + 6 12x = 35 + 6 Combine like terms: 35 + 6 = 41 12x = 41 Divide each side by '12'. x = 3.416666667 Simplifying x = 3.416666667
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