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Simplifying 3(3x + 9) + -2x = 15x + -2(x + -5) Reorder the terms: 3(9 + 3x) + -2x = 15x + -2(x + -5) (9 * 3 + 3x * 3) + -2x = 15x + -2(x + -5) (27 + 9x) + -2x = 15x + -2(x + -5) Combine like terms: 9x + -2x = 7x 27 + 7x = 15x + -2(x + -5) Reorder the terms: 27 + 7x = 15x + -2(-5 + x) 27 + 7x = 15x + (-5 * -2 + x * -2) 27 + 7x = 15x + (10 + -2x) Reorder the terms: 27 + 7x = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x 27 + 7x = 10 + 13x Solving 27 + 7x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 27 + 7x + -13x = 10 + 13x + -13x Combine like terms: 7x + -13x = -6x 27 + -6x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 27 + -6x = 10 + 0 27 + -6x = 10 Add '-27' to each side of the equation. 27 + -27 + -6x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 10 + -27 -6x = 10 + -27 Combine like terms: 10 + -27 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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