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Simplifying 3 + 2[x + -9] = 12 + -7x Reorder the terms: 3 + 2[-9 + x] = 12 + -7x 3 + [-9 * 2 + x * 2] = 12 + -7x 3 + [-18 + 2x] = 12 + -7x Combine like terms: 3 + -18 = -15 -15 + 2x = 12 + -7x Solving -15 + 2x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 2x + 7x = 12 + -7x + 7x Combine like terms: 2x + 7x = 9x -15 + 9x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 9x = 12 + 0 -15 + 9x = 12 Add '15' to each side of the equation. -15 + 15 + 9x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 12 + 15 9x = 12 + 15 Combine like terms: 12 + 15 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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