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Simplifying 9x + 12 = -6(x + 3) Reorder the terms: 12 + 9x = -6(x + 3) Reorder the terms: 12 + 9x = -6(3 + x) 12 + 9x = (3 * -6 + x * -6) 12 + 9x = (-18 + -6x) Solving 12 + 9x = -18 + -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 + 9x + 6x = -18 + -6x + 6x Combine like terms: 9x + 6x = 15x 12 + 15x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 15x = -18 + 0 12 + 15x = -18 Add '-12' to each side of the equation. 12 + -12 + 15x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = -18 + -12 15x = -18 + -12 Combine like terms: -18 + -12 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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