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Simplifying (9x + -12) + -2x = 18 + -3(2x + -3) Reorder the terms: (-12 + 9x) + -2x = 18 + -3(2x + -3) Remove parenthesis around (-12 + 9x) -12 + 9x + -2x = 18 + -3(2x + -3) Combine like terms: 9x + -2x = 7x -12 + 7x = 18 + -3(2x + -3) Reorder the terms: -12 + 7x = 18 + -3(-3 + 2x) -12 + 7x = 18 + (-3 * -3 + 2x * -3) -12 + 7x = 18 + (9 + -6x) Combine like terms: 18 + 9 = 27 -12 + 7x = 27 + -6x Solving -12 + 7x = 27 + -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. -12 + 7x + 6x = 27 + -6x + 6x Combine like terms: 7x + 6x = 13x -12 + 13x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 13x = 27 + 0 -12 + 13x = 27 Add '12' to each side of the equation. -12 + 12 + 13x = 27 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 27 + 12 13x = 27 + 12 Combine like terms: 27 + 12 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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