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Simplifying 6x + 6 + -1(4x + -4) = 12 Reorder the terms: 6x + 6 + -1(-4 + 4x) = 12 6x + 6 + (-4 * -1 + 4x * -1) = 12 6x + 6 + (4 + -4x) = 12 Reorder the terms: 6 + 4 + 6x + -4x = 12 Combine like terms: 6 + 4 = 10 10 + 6x + -4x = 12 Combine like terms: 6x + -4x = 2x 10 + 2x = 12 Solving 10 + 2x = 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 + 2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 12 + -10 2x = 12 + -10 Combine like terms: 12 + -10 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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