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Simplifying 10 + -3(2x + 2) + 6 = 12 Reorder the terms: 10 + -3(2 + 2x) + 6 = 12 10 + (2 * -3 + 2x * -3) + 6 = 12 10 + (-6 + -6x) + 6 = 12 Reorder the terms: 10 + -6 + 6 + -6x = 12 Combine like terms: 10 + -6 = 4 4 + 6 + -6x = 12 Combine like terms: 4 + 6 = 10 10 + -6x = 12 Solving 10 + -6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 12 + -10 -6x = 12 + -10 Combine like terms: 12 + -10 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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