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Simplifying 6x + -9 = 3(-3x + 12) Reorder the terms: -9 + 6x = 3(-3x + 12) Reorder the terms: -9 + 6x = 3(12 + -3x) -9 + 6x = (12 * 3 + -3x * 3) -9 + 6x = (36 + -9x) Solving -9 + 6x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -9 + 6x + 9x = 36 + -9x + 9x Combine like terms: 6x + 9x = 15x -9 + 15x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + 15x = 36 + 0 -9 + 15x = 36 Add '9' to each side of the equation. -9 + 9 + 15x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = 36 + 9 15x = 36 + 9 Combine like terms: 36 + 9 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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