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Simplifying 12x + -3(3x + -6) = 2x + 2 Reorder the terms: 12x + -3(-6 + 3x) = 2x + 2 12x + (-6 * -3 + 3x * -3) = 2x + 2 12x + (18 + -9x) = 2x + 2 Reorder the terms: 18 + 12x + -9x = 2x + 2 Combine like terms: 12x + -9x = 3x 18 + 3x = 2x + 2 Reorder the terms: 18 + 3x = 2 + 2x Solving 18 + 3x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = 2 + 0 18 + 1x = 2 Add '-18' to each side of the equation. 18 + -18 + 1x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 2 + -18 1x = 2 + -18 Combine like terms: 2 + -18 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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